Articles

Search Articles

Advanced search
Help

Catalogue

Articles

Databases

X
Search Filters
Format Format
Subjects Subjects
Subjects Subjects
X
Sort by Item Count (A-Z)
Filter by Count
mathematics (13) 13
mathematics, applied (12) 12
mathematics - analysis of pdes (7) 7
physics, mathematical (6) 6
non-linear schrodinger equation (5) 5
mathematical physics (4) 4
nonlinear schrodinger-equation (4) 4
quantum graphs (4) 4
analysis of pdes (3) 3
existence (3) 3
scattering (3) 3
standing waves (3) 3
[ math.math-ap ] mathematics [math]/analysis of pdes [math.ap] (2) 2
[math.math-ap]mathematics [math]/analysis of pdes [math.ap] (2) 2
asymptotic stability (2) 2
concentration-compactness techniques (2) 2
conductivity (2) 2
constrained energy minimization (2) 2
convergence (2) 2
de-vries equation (2) 2
dispersion (2) 2
engineering, electrical & electronic (2) 2
gradient flow (2) 2
inverse problems (2) 2
non-linear hyperbolic equations (2) 2
non-linear schrödinger equation (2) 2
partial differential equations (2) 2
physics, multidisciplinary (2) 2
reconstruction (2) 2
soliton (2) 2
stability (2) 2
tadpole graph (2) 2
well-posedness (2) 2
2d wave-equation (1) 1
35q41 (1) 1
35q55 (1) 1
35q75, 83e15 (1) 1
81v70 (1) 1
82c10 (1) 1
[ math.math-ca ] mathematics [math]/classical analysis and odes [math.ca] (1) 1
[ math.math-mp ] mathematics [math]/mathematical physics [math-ph] (1) 1
[ math.math-sp ] mathematics [math]/spectral theory [math.sp] (1) 1
[ spi.auto ] engineering sciences [physics]/automatic (1) 1
[math.math-ca]mathematics [math]/classical analysis and odes [math.ca] (1) 1
[math.math-mp]mathematics [math]/mathematical physics [math-ph] (1) 1
[math.math-sp]mathematics [math]/spectral theory [math.sp] (1) 1
[spi.auto]engineering sciences [physics]/automatic (1) 1
acousto-electric tomography (1) 1
adaptive algorithms (1) 1
adaptive filters (1) 1
adaptive haar wavelet transform (1) 1
adiabatic flow (1) 1
adiabatic theory (1) 1
aggregation (1) 1
analysis (1) 1
approximate inverses (1) 1
approximation (1) 1
automatic (1) 1
automation & control systems (1) 1
bdf2 (1) 1
behavior (1) 1
bifurcations (1) 1
blow-up (1) 1
blow-up solutions (1) 1
blowup (1) 1
blowup profile (1) 1
boundary rigidity (1) 1
brain (1) 1
cauchy-problem (1) 1
classical analysis and odes (1) 1
clustering (1) 1
coarsening (1) 1
compact surfaces (1) 1
compressible euler equations (1) 1
computer simulation (1) 1
concentrationcompactness techniques (1) 1
condensed matter (1) 1
construction (1) 1
continuity equations (1) 1
controllability (1) 1
conver- gence to equilibrium (1) 1
convergence to equilibrium (1) 1
coupled systems (1) 1
critical equation (1) 1
critical nls (1) 1
critical wave-equation (1) 1
cross-diffusion systems (1) 1
cubic nls (1) 1
curvature (1) 1
data cauchy-theory (1) 1
decay (1) 1
decay rate (1) 1
delays (1) 1
density (1) 1
dependent boundary-conditions (1) 1
derivation (1) 1
diffusion (1) 1
digital imaging (1) 1
discretization (1) 1
domains (1) 1
more...
Language Language
Publication Date Publication Date
Click on a bar to filter by decade
Slide to change publication date range


1. Full Text Denoising and segmentation of MR images using fourth order non‐linear adaptive PDE and new convergent clustering
by Kollem, Sreedhar and Reddy, Katta Rama Linga and Rao, Duggirala Srinivasa
International Journal of Imaging Systems and Technology, ISSN 0899-9457, 09/2019, Volume 29, Issue 3, pp. 195 - 209
At present, digital image processing plays a vital role in medical imaging areas and specifically in magnetic resonance imaging (MRI) of brain images such as... 
adaptive Haar wavelet transform | non‐linear APDE | false‐hit | missed‐term | new convergent K‐means clustering | false-hit | missed-term | non-linear APDE | new convergent K-means clustering | IMAGING SCIENCE & PHOTOGRAPHIC TECHNOLOGY | OPTICS | ENGINEERING, ELECTRICAL & ELECTRONIC | Magnetic resonance imaging | Image processing | Medical imaging equipment
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
2. Well-posedness issues for some critical coupled non-linear klein-gordon equations
by Ghanmi, Radhia and Saanouni, Tarek
Communications on Pure and Applied Analysis, ISSN 1534-0392, 03/2019, Volume 18, Issue 2, pp. 603 - 623
The initial value problem for some coupled non-linear wave equations is investigated. In the defocusing case, global well-posedness and ill-posedness results... 
Instability | Global well-posedness | Non-linear Klein-Gordon system | Scattering | Blow-up | SYSTEM | MATHEMATICS, APPLIED | ENERGY | SOBOLEV SPACE | global well-posedness | CAUCHY-PROBLEM | 2D WAVE-EQUATION | EXPONENTIAL-GROWTH | MATHEMATICS | scattering | REGULARITY | blow-up | instability | GLOBAL-SOLUTIONS
Journal Article
Details down arrow
3. A BDF2-approach for the non-linear Fokker-Planck equation
by Plazotta, Simon
Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 05/2019, Volume 39, Issue 5, pp. 2893 - 2913
We prove convergence of a variational formulation of the BDF2 method applied to the non-linear Fokker-Planck equation. Our approach is inspired by the... 
Non-linear diffusion equations | BDF2 | Gradient flow | Minimizing movements | Second order scheme | MATHEMATICS, APPLIED | APPROXIMATION | CONTINUITY EQUATIONS | CROSS-DIFFUSION SYSTEMS | MATHEMATICS | SCHEME | DISCRETIZATION | second order scheme | DRIFT-DIFFUSION | CONVERGENCE | minimizing movements | NUMERICAL-SIMULATION | non-linear diffusion equations | AGGREGATION
Journal Article
Details down arrow
4. Irregular time-dependent perturbations of quantum Hamiltonians
by Robert, Didier
Journal of Spectral Theory, ISSN 1664-039X, 2016, Volume 6, Issue 4, pp. 955 - 976
Our main goal in this paper is to prove existence (and uniqueness) of the quantum propagator for time-dependent quantum Hamiltonians (H) over cap (t) when this... 
Strichartz estimate | Herman-Kluk formula | Non-linear time-dependent Schrödinger equations | MATHEMATICS | MATHEMATICS, APPLIED | CONSTRUCTION | SCHRODINGER EVOLUTION-EQUATIONS | FORMULAS | Non-linear time-dependent Schrodinger equations | FUNDAMENTAL SOLUTION
Journal Article
Details down arrow
5. Full Text Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
by Cacciapuoti, C and Finco, D and Noja, D
NONLINEARITY, ISSN 0951-7715, 08/2017, Volume 30, Issue 8, pp. 3271 - 3303
We consider a nonlinear Schrodinger equation (NLS) posed on a graph (or network) composed of a generic compact part to which a finite number of half-lines are... 
MATHEMATICS, APPLIED | quantum graphs | non-linear Schrodinger equation | TADPOLE GRAPH | STANDING WAVES | concentration-compactness techniques | NONLINEAR SCHRODINGER-EQUATION | PHYSICS, MATHEMATICAL | CONSTRAINED ENERGY MINIMIZATION
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
6. A non-local problem for the Fokker-Planck equation related to the Becker-Döring model
by Conlon, Joseph G and Schlichting, André
Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 04/2019, Volume 39, Issue 4, pp. 1821 - 1889
This paper concerns a Fokker-Planck equation on the positive real line modeling nucleation and growth of clusters. The main feature of the equation is the... 
Convergence to equilibrium | Fokker-Planck equation | Gradient flow | Non-linear non-local PDE | Coarsening | Entropy method | MATHEMATICS, APPLIED | BEHAVIOR | coarsening | conver- gence to equilibrium | SOBOLEV INEQUALITIES | FAMILY | MATHEMATICS | SLYOZOV | Non-linear non-local pde | entropy method | EQUILIBRIUM | VERSION | DIFFUSION | gradient flow
Journal Article
Details down arrow
7. Full Text Hardy–Sobolev inequalities with singularities on non smooth boundary: Hardy constant and extremals. Part I: Influence of local geometry
by Cheikh Ali, Hussein
Nonlinear Analysis, ISSN 0362-546X, 05/2019, Volume 182, pp. 316 - 349
Let be a domain of , . The classical Caffarelli–Kohn–Nirenberg inequality rewrites as the following inequality: for any and any , there exists a constant such... 
Hardy–Sobolev inequalities | Non linear elliptic critical equations | Non-smooth geometry | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | NONEXISTENCE | ELLIPTIC-EQUATIONS | Hardy-Sobolev inequalities | Geometry | Singularities | Curvature | Smooth boundaries
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
8. Full Text Internal exact controllability and uniform decay rates for a model of dynamical elasticity equations for incompressible materials with a pressure term
by Almeida, Adriana F and Astudillo, Maria and Cavalcanti, Marcelo M and Zanchetta, Janaina P
Electronic Journal of Qualitative Theory of Differential Equations, ISSN 1417-3875, 2018, Volume 2018, Issue 24, pp. 1 - 28
This paper is concerned with the internal exact controllability of the following model of dynamical elasticity equations for incompressible materials with a... 
Incompressible materials | Uniform decay rates | Non linear damping | Internal exact controllability | MATHEMATICS | non linear damping | MATHEMATICS, APPLIED | incompressible materials | COMPACT SURFACES | uniform decay rates | STABILIZATION | internal exact controllability | SEMILINEAR WAVE-EQUATION | ASYMPTOTIC STABILITY | ENERGY DECAY | DOMAINS
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
9. Full Text The Schrödinger equation on a star-shaped graph under general coupling conditions
by Grecu, Andreea and Ignat, Liviu I
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2019, Volume 52, Issue 3, p. 35202
We investigate dispersive and Strichartz estimates for the Schrodinger time evolution propagator e(-itH) on a star-shaped metric graph. The linear operator, H,... 
Schrodinger operator | quantum graphs | Strichartz estimates | non- linear Schrodinger equation | dispersion | LAPLACIANS | NETWORK | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | QUANTUM GRAPH | THIN FIBERS
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
10. Full Text A fully non-linear optimization approach to acousto-electric tomography
by Adesokan, B.J and Knudsen, K and Krishnan, V.P and Roy, S
Inverse Problems, ISSN 0266-5611, 08/2018, Volume 34, Issue 10, p. 104004
This paper considers the non-linear inverse problem of reconstructing an electric conductivity distribution from the interior power density in a bounded... 
acousto-electric tomography | hybrid imaging | non-linear conjugate gradient | non-linear PDE optimization | DENSITY | MATHEMATICS, APPLIED | INVERSE DIFFUSION | CONDUCTIVITY | RECONSTRUCTION | PHYSICS, MATHEMATICAL | Mathematics - Optimization and Control
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
11. Full Text Unique determination of sound speeds for coupled systems of semi-linear wave equations
by Waters, Alden
Indagationes Mathematicae, ISSN 0019-3577, 09/2019, Volume 30, Issue 5, pp. 904 - 919
We consider coupled systems of semi-linear wave equations with different sound speeds on a finite time interval and a bounded domain in with boundary . We show... 
Coupled systems | Inverse problems | Non-linear hyperbolic equations | To be checked by Faculty | MATHEMATICS | GLOBAL EXISTENCE | RECONSTRUCTION | RIEMANNIAN MANIFOLD | PROPAGATION
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
12. Full Text An application of the Nash–Moser theorem to the vacuum boundary problem of gaseous stars
by Makino, Tetu
Journal of Differential Equations, ISSN 0022-0396, 01/2017, Volume 262, Issue 2, pp. 803 - 843
We have been studying spherically symmetric motions of gaseous stars with physical vacuum boundary governed either by the Euler–Poisson equations in the... 
Nash–Moser theory | Vacuum boundary | Spherically symmetric solutions | Gaseous stars | Non-linear hyperbolic equations | MATHEMATICS | COMPRESSIBLE EULER EQUATIONS | PHYSICAL VACUUM | Nash-Moser theory | SPHERICALLY SYMMETRIC MOTIONS | WELL-POSEDNESS | Mathematics - Analysis of PDEs
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
13. Full Text Adiabatic theorem for the Gross-Pitaevskii equation
by Gang, Zhou and Grech, Philip
Communications in Partial Differential Equations, ISSN 0360-5302, 05/2017, Volume 42, Issue 5, pp. 731 - 756
We prove an adiabatic theorem for the nonautonomous semilinear Gross-Pitaevskii equation. More precisely, we assume that the external potential decays suitably... 
non-autonomous dynamical systems | soliton | 82C10 | Adiabatic theory | 35Q55 | 81V70 | 35Q41 | non-linear Schrödinger equation | MATHEMATICS, APPLIED | NONLINEAR SCHRODINGER-EQUATIONS | non-linear Schrodinger equation | MATHEMATICS | EVOLUTION | SOLITARY WAVES | RESONANCE | DYNAMICS | ASYMPTOTIC STABILITY | GROUND-STATES | SCATTERING | Adiabatic flow | Infinity | Decay | Conductivity | Ground state | Bifurcations | Helium
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
14. Full Text A fast local level set adjoint state method for first arrival transmission traveltime tomography with discontinuous slowness
by Li, Wenbin and Leung, Shingyu
Geophysical Journal International, ISSN 0956-540X, 10/2013, Volume 195, Issue 1, pp. 582 - 596
We propose a numerical algorithm for solving first arrival transmission traveltime tomography problems where the underlying slowness is piecewise continuous.... 
Non-linear differential equations | Tomography | Numerical solutions | TENSOR-FIELDS | VISCOSITY SOLUTIONS | X-RAY TRANSFORM | HAMILTON-JACOBI EQUATIONS | BOUNDARY RIGIDITY | GEOCHEMISTRY & GEOPHYSICS | FAST SWEEPING METHOD | APPROXIMATE INVERSES | INVERSE PROBLEMS | EIKONAL EQUATIONS | SCHEMES
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
15. Full Text Standing waves for the NLS on the double-bridge graph and a rational–irrational dichotomy
by Noja, Diego and Rolando, Sergio and Secchi, Simone
Journal of Differential Equations, ISSN 0022-0396, 01/2019, Volume 266, Issue 1, pp. 147 - 178
We study standing waves of NLS equation posed on the : two semi-infinite half-lines attached at a circle. At the two vertices Kirchhoff boundary conditions are... 
Standing waves | Non-linear Schrödinger equation | Quantum graphs | MATHEMATICS | GROUND-STATE | EXPANSIONS | DEPENDENT BOUNDARY-CONDITIONS | NONLINEAR SCHRODINGER-EQUATION | Non-linear Schrodinger equation | ORBITAL STABILITY
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
16. Full Text Effective non-linear spinor dynamics in a spin-1 Bose-Einstein condensate
by Michelangeli, A and Olgiati, A
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2018, Volume 51, Issue 40, p. 405201
We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then... 
Spinor Bose-Einstein condensates | Many-body quantum dynamics | Cubic NLS | Mean-field | Effective non-linear evolution equations | Gross-Pitaevskii scaling | Reduced density matrix | Partial trace | mean-field and Gross-Pitaevskii scaling | DERIVATION | many-body quantum dynamics | PHYSICS, MULTIDISCIPLINARY | reduced density matrix | QUANTUM | spinor Bose-Einstein condensates | effective non-linear evolution equations | PHYSICS, MATHEMATICAL | cubic NLS | partial trace | GROSS-PITAEVSKII EQUATION
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
17. Full Text The weak null condition and kaluza-klein spacetimes
by Wyatt, Zoe
Journal of Hyperbolic Differential Equations, ISSN 0219-8916, 06/2018, Volume 15, Issue 2, pp. 219 - 258
We prove the non-linear stability of a system of non-linear wave equations satisfying the weak null condition. In particular, this includes the case of the... 
Non-linear wave equation | Kaluza-klein spacetime | Einstein equations | VACUUM | MATHEMATICS, APPLIED | non-linear wave equation | GLOBAL STABILITY | MINKOWSKI SPACE | EQUATIONS | Kaluza-Klein spacetime | PHYSICS, MATHEMATICAL | RELATIVITY
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
18. Full Text Two Approaches for the Stabilization of Nonlinear KdV Equation With Boundary Time-Delay Feedback
by Baudouin, Lucie and Crepeau, Emmanuelle and Valein, Julie
IEEE Transactions on Automatic Control, ISSN 0018-9286, 04/2019, Volume 64, Issue 4, pp. 1403 - 1414
This paper concerns the nonlinear Korteweg-de Vries equation with boundary time-delay feedback. Under appropriate assumption on the coefficients of the... 
Stability | Estimation | Korteweg-de Vries non-linear equation | time delay | Delays | Mathematical model | Exponential stability | Observability | Dispersion | Lyapunov function | Lyapunov functional | time-delay | exponential stability | ROBUSTNESS | RESPECT | STABILITY | SYSTEMS | DE-VRIES EQUATION | CONTROLLABILITY | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Observability (systems) | Liapunov functions | Decay rate | Computer simulation | Feedback | Time delay systems | Mathematics | Engineering Sciences | Analysis of PDEs | Automatic
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
19. Full Text Ground state and orbital stability for the NLS equation on a general starlike graph with potentials
by Cacciapuoti, Claudio and Finco, Domenico and Noja, Diego
Nonlinearity, ISSN 0951-7715, 07/2017, Volume 30, Issue 8, pp. 3271 - 3303
We consider a nonlinear Schrodinger equation (NLS) posed on a graph (or network) composed of a generic compact part to which a finite number of half-lines are... 
non-linear Schrodinger equation | concentrationcompactness techniques | quantum graphs | MATHEMATICS, APPLIED | TADPOLE GRAPH | STANDING WAVES | concentration-compactness techniques | NONLINEAR SCHRODINGER-EQUATION | PHYSICS, MATHEMATICAL | CONSTRAINED ENERGY MINIMIZATION
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
20. Full Text Probabilistic global well-posedness for the supercritical nonlinear harmonic oscillator
by Poiret, Aurélien and Robert, Didier and Thomann, Laurent
Analysis and PDE, ISSN 2157-5045, 2014, Volume 7, Issue 4, pp. 997 - 102
Thanks to an approach inspired by Burq and Lebeau [Ann. Sci. Ec. Norm. Super. (4) 6:6 (2013)], we prove stochastic versions of Strichartz estimates for... 
Global solutions | Random initial conditions | Scattering | Supercritical nonlinear Schrödinger equation | Harmonic oscillator | supercritical nonlinear Schrodinger equation | EXISTENCE | MATHEMATICS, APPLIED | SCHRODINGER-EQUATION | harmonic oscillator | POTENTIALS | MATHEMATICS | INVARIANT-MEASURES | scattering | global solutions | OPERATOR | DATA CAUCHY-THEORY | random initial conditions
Journal Article
Details down arrow
Digital rights down arrow
loading Loading Rights
No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.