Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 10/2017, Volume 56, Issue 5

Journal Article

Communications in Partial Differential Equations, ISSN 0360-5302, 04/2018, Volume 43, Issue 4, pp. 616 - 627

We consider the problem of constrained Ginibre ensemble with prescribed portion of eigenvalues on a given curve Γ⊂ℝ 2 and relate it to a thin obstacle problem....

thin obstacle | global regularity | Free boundary | obstacle problem | Primary: 35R35 | MATHEMATICS | MATHEMATICS, APPLIED | Eigenvalues

thin obstacle | global regularity | Free boundary | obstacle problem | Primary: 35R35 | MATHEMATICS | MATHEMATICS, APPLIED | Eigenvalues

Journal Article

Analysis, ISSN 0174-4747, 01/2019, Volume 38, Issue 4, pp. 155 - 165

We consider an overdetermined problem associated to an inhomogeneous infinity-Laplace equation. More precisely, the domain of the problem is required to...

35N25 | Infinity-Laplacian | 35R35 | overdetermined problems | viscosity solutions

35N25 | Infinity-Laplacian | 35R35 | overdetermined problems | viscosity solutions

Journal Article

Inverse Problems and Imaging, ISSN 1930-8337, 2019, Volume 13, Issue 2, pp. 377 - 400

We consider an inverse obstacle problem for the acoustic transient wave equation. More precisely, we wish to reconstruct an obstacle characterized by a...

Wave equation | Lateral cauchy data | Nverse obstacle problem | Unique continuation | Level set method | Quasi-reversibility | lateral Cauchy data | MATHEMATICS, APPLIED | quasi-reversibility | unique continuation | wave equation | level set method | SOLVE | PHYSICS, MATHEMATICAL | Inverse obstacle problem | SCATTERING | EXTERIOR APPROACH

Wave equation | Lateral cauchy data | Nverse obstacle problem | Unique continuation | Level set method | Quasi-reversibility | lateral Cauchy data | MATHEMATICS, APPLIED | quasi-reversibility | unique continuation | wave equation | level set method | SOLVE | PHYSICS, MATHEMATICAL | Inverse obstacle problem | SCATTERING | EXTERIOR APPROACH

Journal Article

Mathematische Annalen, ISSN 0025-5831, 6/2013, Volume 356, Issue 2, pp. 737 - 792

The two-phase free boundary value problem for the isothermal Navier–Stokes system is studied for general bounded geometries in absence of phase transitions,...

Mathematics, general | Mathematics | 35R35 | 35Q30 | 76T10 | 76D45 | EXISTENCE | FLUIDS | MATHEMATICS | EVOLUTION-EQUATIONS | SPACES

Mathematics, general | Mathematics | 35R35 | 35Q30 | 76T10 | 76D45 | EXISTENCE | FLUIDS | MATHEMATICS | EVOLUTION-EQUATIONS | SPACES

Journal Article

Mathematische Annalen, ISSN 0025-5831, 8/2018, Volume 371, Issue 3, pp. 1683 - 1735

We study the obstacle problem for the fractional Laplacian with drift, $$\min \{(-\varDelta )^su + b \cdot \nabla u,\,u -\varphi \} = 0$$...

35B65 | Mathematics, general | Mathematics | 35R35 | 47G20 | MATHEMATICS | EQUATIONS | FREE-BOUNDARY | HIGHER REGULARITY | OPERATORS

35B65 | Mathematics, general | Mathematics | 35R35 | 47G20 | MATHEMATICS | EQUATIONS | FREE-BOUNDARY | HIGHER REGULARITY | OPERATORS

Journal Article

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 9/2017, Volume 29, Issue 3, pp. 957 - 979

In this paper we investigate a free boundary problem for the classical Lotka–Volterra type predator–prey model with double free boundaries in one space...

35K51 | Mathematics | Free boundary problem | Spreading–vanishing dichotomy | Ordinary Differential Equations | 92B05 | Long time behavior | Criteria for spreading and vanishing | 35R35 | Applications of Mathematics | 35B40 | Predator–prey model | Partial Differential Equations | STEFAN PROBLEM | MATHEMATICS | PARABOLIC-SYSTEM | MATHEMATICS, APPLIED | DIFFUSIVE LOGISTIC MODEL | Spreading-vanishing dichotomy | ENVIRONMENT | Predator-prey model | EQUATION | Animal behavior | Analysis | Models

35K51 | Mathematics | Free boundary problem | Spreading–vanishing dichotomy | Ordinary Differential Equations | 92B05 | Long time behavior | Criteria for spreading and vanishing | 35R35 | Applications of Mathematics | 35B40 | Predator–prey model | Partial Differential Equations | STEFAN PROBLEM | MATHEMATICS | PARABOLIC-SYSTEM | MATHEMATICS, APPLIED | DIFFUSIVE LOGISTIC MODEL | Spreading-vanishing dichotomy | ENVIRONMENT | Predator-prey model | EQUATION | Animal behavior | Analysis | Models

Journal Article

Duke Mathematical Journal, ISSN 0012-7094, 03/2013, Volume 162, Issue 4, pp. 627 - 642

The Abelian sandpile growth model is a diffusion process for configurations of chips placed on vertices of the integer lattice Z(d), in which sites with at...

MATHEMATICS | 60K35 | 35R35

MATHEMATICS | 60K35 | 35R35

Journal Article

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 11/2015, Volume 218, Issue 2, pp. 647 - 697

For a class of systems of semi-linear elliptic equations, including for p = 2 (variational-type interaction) or p = 1 (symmetric-type interaction), we prove...

MATHEMATICS, APPLIED | MODELING PHASE-SEPARATION | MECHANICS | FREE-BOUNDARIES | SPATIAL SEGREGATION | THEOREMS | EQUATIONS | MONOTONICITY | BOSE-EINSTEIN CONDENSATION | ELLIPTIC SYSTEM | DIFFUSION-SYSTEMS | CONJECTURE | Mathematics - Analysis of PDEs

MATHEMATICS, APPLIED | MODELING PHASE-SEPARATION | MECHANICS | FREE-BOUNDARIES | SPATIAL SEGREGATION | THEOREMS | EQUATIONS | MONOTONICITY | BOSE-EINSTEIN CONDENSATION | ELLIPTIC SYSTEM | DIFFUSION-SYSTEMS | CONJECTURE | Mathematics - Analysis of PDEs

Journal Article

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 9/2014, Volume 26, Issue 3, pp. 655 - 672

In this paper we investigate two free boundary problems for a Lotka–Volterra type competition model in one space dimension. The main objective is to understand...

35K51 | Spreading and vanishing | Mathematics | Criteria | Free boundaries | Ordinary Differential Equations | 92B05 | Competition model | Long time behavior | 35R35 | Applications of Mathematics | 35B40 | Partial Differential Equations | STEFAN PROBLEM | MATHEMATICS | MATHEMATICS, APPLIED | DIFFUSIVE LOGISTIC MODEL | ENVIRONMENT | PREDATOR-PREY MODEL | Animal behavior | Analysis | Mathematics - Analysis of PDEs

35K51 | Spreading and vanishing | Mathematics | Criteria | Free boundaries | Ordinary Differential Equations | 92B05 | Competition model | Long time behavior | 35R35 | Applications of Mathematics | 35B40 | Partial Differential Equations | STEFAN PROBLEM | MATHEMATICS | MATHEMATICS, APPLIED | DIFFUSIVE LOGISTIC MODEL | ENVIRONMENT | PREDATOR-PREY MODEL | Animal behavior | Analysis | Mathematics - Analysis of PDEs

Journal Article

Communications in Partial Differential Equations, ISSN 0360-5302, 07/2018, Volume 43, Issue 7, pp. 1073 - 1101

We continue the analysis of the two-phase free boundary problems initiated by ourselves, studying where we studied the linear growth of minimizers in a...

monotonicity formula | p-Laplace | Two phase | free boundary regularit | Primary: 35R35 | MATHEMATICS | FLAT FREE-BOUNDARIES | MATHEMATICS, APPLIED | LIPSCHITZ REGULARITY | EQUATIONS | MINIMUM PROBLEM | DOMAINS | Free boundaries

monotonicity formula | p-Laplace | Two phase | free boundary regularit | Primary: 35R35 | MATHEMATICS | FLAT FREE-BOUNDARIES | MATHEMATICS, APPLIED | LIPSCHITZ REGULARITY | EQUATIONS | MINIMUM PROBLEM | DOMAINS | Free boundaries

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 5/2019, Volume 109, Issue 5, pp. 1145 - 1166

This paper investigates an anisotropic diffusion equation with degeneracy on the boundary. A new kind of weak solution is introduced, and the existence of the...

Geometry | 35L85 | Stability | Theoretical, Mathematical and Computational Physics | Complex Systems | Group Theory and Generalizations | 35R35 | Anisotropic diffusion equation | Physics | Boundary value condition | 35L65 | PHYSICS, MATHEMATICAL | Anisotropy

Geometry | 35L85 | Stability | Theoretical, Mathematical and Computational Physics | Complex Systems | Group Theory and Generalizations | 35R35 | Anisotropic diffusion equation | Physics | Boundary value condition | 35L65 | PHYSICS, MATHEMATICAL | Anisotropy

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 5/2016, Volume 343, Issue 3, pp. 1039 - 1113

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | Mathematics - Analysis of PDEs

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | Mathematics - Analysis of PDEs

Journal Article

Journal of Inequalities and Applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 14

Consider a nonlinear diffusion equation related to the p-Laplacian. Different from the usual evolutionary p-Laplacian equation, the equation is degenerate on...

35L85 | p -Laplacian | uniqueness | Analysis | Mathematics, general | Mathematics | 35R35 | Applications of Mathematics | boundary value condition | 35L65 | diffusion coefficient | p-Laplacian | MATHEMATICS | MATHEMATICS, APPLIED | Laplace equation | Diffusion | Diffusion coefficient | Uniqueness | Research

35L85 | p -Laplacian | uniqueness | Analysis | Mathematics, general | Mathematics | 35R35 | Applications of Mathematics | boundary value condition | 35L65 | diffusion coefficient | p-Laplacian | MATHEMATICS | MATHEMATICS, APPLIED | Laplace equation | Diffusion | Diffusion coefficient | Uniqueness | Research

Journal Article

The Annals of Applied Probability, ISSN 1050-5164, 6/2009, Volume 19, Issue 3, pp. 983 - 1014

Assuming that the stock price $Z = (Z_{t})_{0\leqt\leqT}$ follows a geometric Brownian motion with drift $\mu\in\mathbb{R}$ and volatility $\sigma > 0$ , and...

Brownian motion | Stock prices | Optimal strategies | Investors | Mathematical theorems | Differential equations | Stock sales | Markov processes | Mathematical functions | Stopping distances | Markov process | Local time-space calculus | Optimal stopping | Normal reflection | Parabolic free-boundary problem | Smooth fit | Geometric Brownian motion | Curved boundary | Nonlinear volterra integral equation | Optimal prediction | Ultimate maximum | optimal stopping | curved boundary | BROWNIAN-MOTION | local time-space calculus | nonlinear Volterra integral equation | STATISTICS & PROBABILITY | smooth fit | parabolic free-boundary problem | optimal prediction | ultimate maximum | normal reflection | diffusion process | 60J65 | 60G40 | 91B28 | 45G10 | local time–space calculus | 35R35 | 60G25

Brownian motion | Stock prices | Optimal strategies | Investors | Mathematical theorems | Differential equations | Stock sales | Markov processes | Mathematical functions | Stopping distances | Markov process | Local time-space calculus | Optimal stopping | Normal reflection | Parabolic free-boundary problem | Smooth fit | Geometric Brownian motion | Curved boundary | Nonlinear volterra integral equation | Optimal prediction | Ultimate maximum | optimal stopping | curved boundary | BROWNIAN-MOTION | local time-space calculus | nonlinear Volterra integral equation | STATISTICS & PROBABILITY | smooth fit | parabolic free-boundary problem | optimal prediction | ultimate maximum | normal reflection | diffusion process | 60J65 | 60G40 | 91B28 | 45G10 | local time–space calculus | 35R35 | 60G25

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 4/2016, Volume 67, Issue 2, pp. 1 - 11

We consider the amplitude equation for nonlinear surface wave solutions of hyperbolic conservation laws. This is an asymptotic nonlocal, Hamiltonian evolution...

Engineering | plasma–vacuum interface | Mathematical Methods in Physics | Incompressible magneto-hydrodynamics | 35Q35 | 76B03 | 76E25 | 35R35 | Theoretical and Applied Mechanics | 76E17 | 76W05 | Maxwell equations | Fluid dynamics | Environmental law | Differential equations | Surface waves | Wave propagation | Amplitudes | Computational fluid dynamics | Mathematical analysis | Norms | Nonlinearity | Evolution

Engineering | plasma–vacuum interface | Mathematical Methods in Physics | Incompressible magneto-hydrodynamics | 35Q35 | 76B03 | 76E25 | 35R35 | Theoretical and Applied Mechanics | 76E17 | 76W05 | Maxwell equations | Fluid dynamics | Environmental law | Differential equations | Surface waves | Wave propagation | Amplitudes | Computational fluid dynamics | Mathematical analysis | Norms | Nonlinearity | Evolution

Journal Article

Duke Mathematical Journal, ISSN 0012-7094, 07/2018, Volume 167, Issue 10, pp. 1825 - 1882

We study the minimum problem for the functional integral(Omega)(vertical bar del u vertical bar(2) + Q(2) chi({vertical bar u vertical bar>0}))dx with the...

MATHEMATICS | REGULARITY | HARMONIC-FUNCTIONS | Mathematics - Analysis of PDEs

MATHEMATICS | REGULARITY | HARMONIC-FUNCTIONS | Mathematics - Analysis of PDEs

Journal Article

Journal of Dynamics and Differential Equations, ISSN 1040-7294, 12/2012, Volume 24, Issue 4, pp. 873 - 895

We study a Lotka–Volterra type weak competition model with a free boundary in a one-dimensional habitat. The main objective is to understand the asymptotic...

Free boundary | Spreading–vanishing dichotomy | 35K51 | Ordinary Differential Equations | 92B05 | Lotka–Volterra model | Mathematics | 35R35 | Applications of Mathematics | Spreading speed | Partial Differential Equations | Lotka-Volterra model | Spreading-vanishing dichotomy | STEFAN PROBLEM | MATHEMATICS, APPLIED | LINEAR DETERMINACY | MODEL | TRAVELING WAVE SOLUTIONS | MATHEMATICS | FRONTS | DIFFUSION-EQUATIONS | SPREADING SPEEDS | Animal behavior | Analysis

Free boundary | Spreading–vanishing dichotomy | 35K51 | Ordinary Differential Equations | 92B05 | Lotka–Volterra model | Mathematics | 35R35 | Applications of Mathematics | Spreading speed | Partial Differential Equations | Lotka-Volterra model | Spreading-vanishing dichotomy | STEFAN PROBLEM | MATHEMATICS, APPLIED | LINEAR DETERMINACY | MODEL | TRAVELING WAVE SOLUTIONS | MATHEMATICS | FRONTS | DIFFUSION-EQUATIONS | SPREADING SPEEDS | Animal behavior | Analysis

Journal Article

Inventiones mathematicae, ISSN 0020-9910, 4/2016, Volume 204, Issue 1, pp. 1 - 82

We will show optimal regularity for minimizers of the Signorini problem for the Lame system. In particular if $$\mathbf{u }=(u^1,u^2,\dots ,u^n)\in...

Mathematics, general | Mathematics | Secondary 35B40 | 35J60 | Primary 35R35 | MATHEMATICS | Maximum principle | Partial differential equations | Mathematical analysis | Regularity | Free boundaries | Texts | Scalars | Graphs | Optimization

Mathematics, general | Mathematics | Secondary 35B40 | 35J60 | Primary 35R35 | MATHEMATICS | Maximum principle | Partial differential equations | Mathematical analysis | Regularity | Free boundaries | Texts | Scalars | Graphs | Optimization

Journal Article

Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 6/2019, Volume 58, Issue 3, pp. 1 - 19

In this paper, we prove a local $$C^{1}$$ C1 -regularity of the free boundary for the (hybrid) double obstacle problem with an upper obstacle $$\psi $$ ψ ,...

Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Regularity of free boundary | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35R35 | Free boundary problem | Obstacle problem | MATHEMATICS | MATHEMATICS, APPLIED | FREE-BOUNDARY

Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Regularity of free boundary | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35R35 | Free boundary problem | Obstacle problem | MATHEMATICS | MATHEMATICS, APPLIED | FREE-BOUNDARY

Journal Article

No results were found for your search.

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