Journal of the London Mathematical Society, ISSN 1469-7750, 2019, Volume 100, Issue 2, pp. 623 - 643

We study boundary regularity for the normalized p‐parabolic equation in arbitrary bounded domains. Effros and Kazdan (Indiana Univ. Math. J. 20 (1970) 683–693)...

35D40 | 35B30 | 35K92 (secondary) | 35B51 | 35K61 (primary)

35D40 | 35B30 | 35K92 (secondary) | 35B51 | 35K61 (primary)

Journal Article

Mathematische Annalen, ISSN 0025-5831, 2/2016, Volume 364, Issue 1, pp. 243 - 268

... , p of Kato and Ponce (Rev Mat Iberoam 2:73–88, 1986 ). Mathematics Subject Classi cation Primary 35Q35; Secondary 35B30 1 Introduction The study of the Cauchy...

Mathematics, general | Mathematics | Primary 35Q35 | Secondary 35B30

Mathematics, general | Mathematics | Primary 35Q35 | Secondary 35B30

Journal Article

Quaestiones mathematicae, ISSN 1607-3606, 02/2020, pp. 1 - 18

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 12/2016, Volume 67, Issue 6, pp. 1 - 27

... Classi cation. Primary 35Q55, Secondary 35B30, 35Q40. Keywords. Quantum Zakharov system, Convergence of solution. 1. Introduction We consider the quantum Zakharov...

Engineering | Mathematical Methods in Physics | Secondary 35B30 | Primary 35Q55 | Convergence of solution | Theoretical and Applied Mechanics | 35Q40 | Quantum Zakharov system | EXISTENCE | MATHEMATICS, APPLIED | DIMENSION-2 | ENERGY | REGULARITY | EQUATIONS | BLOW-UP SOLUTIONS | GLOBAL WELL-POSEDNESS | LANGMUIR TURBULENCE | Nonlinearity | Applications of mathematics | Sound | Schroedinger equation | Infinity | Mathematical analysis | Mathematics - Analysis of PDEs

Engineering | Mathematical Methods in Physics | Secondary 35B30 | Primary 35Q55 | Convergence of solution | Theoretical and Applied Mechanics | 35Q40 | Quantum Zakharov system | EXISTENCE | MATHEMATICS, APPLIED | DIMENSION-2 | ENERGY | REGULARITY | EQUATIONS | BLOW-UP SOLUTIONS | GLOBAL WELL-POSEDNESS | LANGMUIR TURBULENCE | Nonlinearity | Applications of mathematics | Sound | Schroedinger equation | Infinity | Mathematical analysis | Mathematics - Analysis of PDEs

Journal Article

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 06/2016, Volume 19, Issue 3, pp. 676 - 695

In this paper, we deal with the initial-boundary-value problems for a general time-fractional diffusion equation which generalizes the single- and the...

35C05 | Fourier method of variables separation | general fractional derivative | Primary 26A33 | 60E99 | general time-fractional diffusion equation | initial-boundary-value problems | 35L05 | Secondary 35A05 | maximum principle | 35E05 | a priori estimates | 35B30 | 45K05 | 35B50 | generalized solution | MATHEMATICS, APPLIED | ULTRASLOW DIFFUSION | CALCULUS | DIFFERENTIAL-EQUATIONS | MATHEMATICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MODELS

35C05 | Fourier method of variables separation | general fractional derivative | Primary 26A33 | 60E99 | general time-fractional diffusion equation | initial-boundary-value problems | 35L05 | Secondary 35A05 | maximum principle | 35E05 | a priori estimates | 35B30 | 45K05 | 35B50 | generalized solution | MATHEMATICS, APPLIED | ULTRASLOW DIFFUSION | CALCULUS | DIFFERENTIAL-EQUATIONS | MATHEMATICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MODELS

Journal Article

Constructive approximation, ISSN 1432-0940, 2016, Volume 45, Issue 2, pp. 243 - 271

.... Keywords Bounded harmonic functions · Estimates of the gradient · The Khavinson problem · The Schwarz lemma Mathematics Subject Classi cation Primary 35B30; Secondary...

Estimates of the gradient | The Khavinson problem | Secondary 35J05 | Numerical Analysis | Analysis | Bounded harmonic functions | Primary 35B30 | Mathematics | The Schwarz lemma | MATHEMATICS | HARMONIC-FUNCTIONS

Estimates of the gradient | The Khavinson problem | Secondary 35J05 | Numerical Analysis | Analysis | Bounded harmonic functions | Primary 35B30 | Mathematics | The Schwarz lemma | MATHEMATICS | HARMONIC-FUNCTIONS

Journal Article

Fractional Calculus and Applied Analysis, ISSN 1311-0454, 10/2017, Volume 20, Issue 5, pp. 1131 - 1145

In this paper, we discuss the maximum principle for a time-fractional diffusion equation with the Caputo time-derivative of the order ∈ (0, 1) in the case of...

35C05 | Primary 26A33 | 60E99 | initial-boundary-value problems | 35L05 | Secondary 35A05 | Caputo fractional derivative | weak maximum principle | 35E05 | comparison principle | time-fractional diffusion equation | 35B30 | 45K05 | 35B50 | MATHEMATICS | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DIFFERENTIAL-EQUATIONS | Mathematical research | Boundary value problems | Research

35C05 | Primary 26A33 | 60E99 | initial-boundary-value problems | 35L05 | Secondary 35A05 | Caputo fractional derivative | weak maximum principle | 35E05 | comparison principle | time-fractional diffusion equation | 35B30 | 45K05 | 35B50 | MATHEMATICS | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | DIFFERENTIAL-EQUATIONS | Mathematical research | Boundary value problems | Research

Journal Article

8.
Full Text
The heat semigroup on sectorial domains, highly singular initial values and applications

Journal of evolution equations, ISSN 1424-3202, 2015, Volume 16, Issue 2, pp. 341 - 364

We show that the heat semigroup is well defined on the Banach space $${\mathcal{X}_{m,\gamma} = \{ \psi:\Omega_m \to \mathbb{R} ;\; |x|^{\gamma...

35B06 | Antisymmetric solutions | Heat equation | Asymptotic behavior | Mathematics | 47A20 | Sectorial domains | Complexity | Analysis | Primary 35K05 | Scaling | 35B30 | Secondary 35B60 | 35B40 | MATHEMATICS | MATHEMATICS, APPLIED | R-N | MULTISCALE ASYMPTOTIC-BEHAVIOR | EQUATIONS

35B06 | Antisymmetric solutions | Heat equation | Asymptotic behavior | Mathematics | 47A20 | Sectorial domains | Complexity | Analysis | Primary 35K05 | Scaling | 35B30 | Secondary 35B60 | 35B40 | MATHEMATICS | MATHEMATICS, APPLIED | R-N | MULTISCALE ASYMPTOTIC-BEHAVIOR | EQUATIONS

Journal Article

Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 6/2018, Volume 25, Issue 3, pp. 1 - 37

This paper is devoted to studying the Cauchy problem for the Ostrovsky equation $$\begin{aligned} \partial _{x}\left( u_{t}-\beta \partial _{x}^{3}u...

Strichartz estimates | Secondary 35B30 | Analysis | Primary 35Q53 | Ostrovsky equation with positive dispersion | Mathematics | Cauchy problem | Bilinear estimates | Military electronics industry | Information science

Strichartz estimates | Secondary 35B30 | Analysis | Primary 35Q53 | Ostrovsky equation with positive dispersion | Mathematics | Cauchy problem | Bilinear estimates | Military electronics industry | Information science

Journal Article

Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 12/2016, Volume 23, Issue 6, pp. 1 - 17

This paper is concerned with the ergodic problem for superquadratic viscous Hamilton–Jacobi equations with exponent $$m>2$$ m > 2 . We prove that the...

Secondary 35B30 | Analysis | Viscosity solution | Primary 35D40 | Mathematics | Gradient constraint | Ergodic problem | Viscous Hamilton–Jacobi equation | MATHEMATICS, APPLIED | MAXIMUM | Viscous Hamilton-Jacobi equation | CONVERGENCE | Analysis of PDEs

Secondary 35B30 | Analysis | Viscosity solution | Primary 35D40 | Mathematics | Gradient constraint | Ergodic problem | Viscous Hamilton–Jacobi equation | MATHEMATICS, APPLIED | MAXIMUM | Viscous Hamilton-Jacobi equation | CONVERGENCE | Analysis of PDEs

Journal Article

Mathematische Annalen, ISSN 0025-5831, 02/2016, Volume 364, Issue 1-2, pp. 243 - 268

Journal Article

Analele Universitatii "Ovidius" Constanta - Seria Matematica, ISSN 1224-1784, 07/2017, Volume 25, Issue 2, pp. 65 - 83

In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions...

p(x)-Laplacian | 47J30 | Secondary 35B30 | 35J60 | hemivariational inequal- ity | Primary 49J40 | generalized Lebesgue-Sobolev spaces | symmetric mountain pass lemma | Hemivariational inequality | Generalized Lebesgue-Sobolev spaces | Symmetric mountain pass lemma | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICITY | EQUATIONS | hemivariational inequality

p(x)-Laplacian | 47J30 | Secondary 35B30 | 35J60 | hemivariational inequal- ity | Primary 49J40 | generalized Lebesgue-Sobolev spaces | symmetric mountain pass lemma | Hemivariational inequality | Generalized Lebesgue-Sobolev spaces | Symmetric mountain pass lemma | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICITY | EQUATIONS | hemivariational inequality

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 04/2018, Volume 291, Issue 5-6, pp. 793 - 826

In this paper, we study time‐asymptotic propagation phenomena for a class of dispersive equations on the line by exploiting precise estimates of oscillatory...

Primary: 35B40; Secondary: 35B30 | Oscillatory integral | singular frequency | dispersive equation | (optimal) time‐decay rate | van der Corput Lemma | 35S10 | space‐time cone | 35Q41 | 35Q40 | frequency band | (optimal) time-decay rate | space-time cone | MATHEMATICS | DECAY | SCHRODINGER-EQUATION

Primary: 35B40; Secondary: 35B30 | Oscillatory integral | singular frequency | dispersive equation | (optimal) time‐decay rate | van der Corput Lemma | 35S10 | space‐time cone | 35Q41 | 35Q40 | frequency band | (optimal) time-decay rate | space-time cone | MATHEMATICS | DECAY | SCHRODINGER-EQUATION

Journal Article

Monatshefte für Mathematik, ISSN 0026-9255, 7/2015, Volume 177, Issue 3, pp. 471 - 492

This paper is concerned with the periodic boundary problem for the b-family equation. At first, we use a different method to prove the local well-posedness in...

Periodic peaked solutions | Secondary 35A01 | Ill-posedeness | 35G31 | Primary 35Q53 | Mathematics, general | Periodic boundary value problem | Mathematics | 35B30 | b-family equation | Well-posedness | GLOBAL EXISTENCE | TRAJECTORIES | CAUCHY-PROBLEM | SHALLOW-WATER EQUATION | INTEGRABLE EQUATION | MATHEMATICS | CAMASSA-HOLM | WAVES | BLOW-UP PHENOMENA | WEAK SOLUTIONS

Periodic peaked solutions | Secondary 35A01 | Ill-posedeness | 35G31 | Primary 35Q53 | Mathematics, general | Periodic boundary value problem | Mathematics | 35B30 | b-family equation | Well-posedness | GLOBAL EXISTENCE | TRAJECTORIES | CAUCHY-PROBLEM | SHALLOW-WATER EQUATION | INTEGRABLE EQUATION | MATHEMATICS | CAMASSA-HOLM | WAVES | BLOW-UP PHENOMENA | WEAK SOLUTIONS

Journal Article

Czechoslovak Mathematical Journal, ISSN 0011-4642, 6/2012, Volume 62, Issue 2, pp. 335 - 346

... situation only. Keywords: curve shortening ow, maximal regularity, local inverse function theorem MSC 2010 : 35K93, 35B65, 35B30, 35K90, 46T20 1. Introduction Optimal...

35K93 | 46T20 | 35K90 | Mathematics | maximal regularity | local inverse function theorem | Ordinary Differential Equations | curve shortening flow | Convex and Discrete Geometry | Analysis | 35B65 | Mathematics, general | 35B30 | Mathematical Modeling and Industrial Mathematics | MATHEMATICS | PARABOLIC-SYSTEMS | NONAUTONOMOUS EVOLUTION-EQUATIONS | MEAN-CURVATURE FLOW | TIME | Functional Analysis | Analysis of PDEs | Classical Analysis and ODEs

35K93 | 46T20 | 35K90 | Mathematics | maximal regularity | local inverse function theorem | Ordinary Differential Equations | curve shortening flow | Convex and Discrete Geometry | Analysis | 35B65 | Mathematics, general | 35B30 | Mathematical Modeling and Industrial Mathematics | MATHEMATICS | PARABOLIC-SYSTEMS | NONAUTONOMOUS EVOLUTION-EQUATIONS | MEAN-CURVATURE FLOW | TIME | Functional Analysis | Analysis of PDEs | Classical Analysis and ODEs

Journal Article

Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 3/2013, Volume 207, Issue 3, pp. 1075 - 1089

For a domain $${\Omega \subset \mathbb{R}^{N}}$$ we consider the equation $$-\Delta{u} + V(x)u = Q_n(x)|{u}|^{p-2}u$$ with zero Dirichlet boundary conditions...

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SOLITONS | POSITIVE SOLUTIONS | METAMATERIALS | INDEX | BIFURCATION | Dirichlet problem | Ground state | Boundary conditions | Archives | Mathematical analysis | Concentrates | Mathematics - Analysis of PDEs

Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | SOLITONS | POSITIVE SOLUTIONS | METAMATERIALS | INDEX | BIFURCATION | Dirichlet problem | Ground state | Boundary conditions | Archives | Mathematical analysis | Concentrates | Mathematics - Analysis of PDEs

Journal Article

Nonlinear Differential Equations and Applications NoDEA, ISSN 1021-9722, 12/2014, Volume 21, Issue 6, pp. 775 - 794

In this article we consider the non-linear thermoelastic plate equation in rectangular domains Ω. More precisely, Ω is considered to be given as the Cartesian...

Primary 74F05 | Mathematics | 74K20 | Secondary 35B30 | Analysis | 74H30 | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | MAXIMAL REGULARITY | EXTERIOR DOMAINS | PARABOLIC EQUATIONS | DECAY | FOURIER MULTIPLIER THEOREMS | INFINITY-FUNCTIONAL-CALCULUS | Mathematics - Analysis of PDEs

Primary 74F05 | Mathematics | 74K20 | Secondary 35B30 | Analysis | 74H30 | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | MAXIMAL REGULARITY | EXTERIOR DOMAINS | PARABOLIC EQUATIONS | DECAY | FOURIER MULTIPLIER THEOREMS | INFINITY-FUNCTIONAL-CALCULUS | Mathematics - Analysis of PDEs

Journal Article

Mathematische Annalen, ISSN 0025-5831, 5/2010, Volume 347, Issue 1, pp. 95 - 110

... theorem for homogeneous solutions of locally solvable real analytic vector elds. Mathematics Subject Classi cation (2000) Primary 35F15 · 35B30; Secondary 42A38...

Mathematics, general | Mathematics | 35B30 | Primary 35F15 | Secondary 42A38 | 30E25 | DISTRIBUTIONS | MATHEMATICS | INTERPOLATION SETS | DOMAINS

Mathematics, general | Mathematics | 35B30 | Primary 35F15 | Secondary 42A38 | 30E25 | DISTRIBUTIONS | MATHEMATICS | INTERPOLATION SETS | DOMAINS

Journal Article

Mathematische Nachrichten, ISSN 0025-584X, 06/2013, Volume 286, Issue 8‐9, pp. 832 - 860

We investigate existence and regularity of a class of semilinear, parametric elliptic PDEs with affine dependence of the principal part of the differential...

Secondary: 35B30 | Semilinear elliptic partial differential equations | Legendre‐ and Chebyshev polynomial approximation MSC Primary: 35J61 | 41A58 | analyticity in infinite dimensional spaces | infinite dimensional spaces | tensor product Taylor | N‐term approximation | 65N30 | N-term approximation | Infinite dimensional spaces | Tensor product Taylor | Legendre- and Chebyshev polynomial approximation | Analyticity in infinite dimensional spaces | MATHEMATICS | Legendre- and Chebyshev polynomial approximation MSC Primary: 35J61 | INEQUALITY

Secondary: 35B30 | Semilinear elliptic partial differential equations | Legendre‐ and Chebyshev polynomial approximation MSC Primary: 35J61 | 41A58 | analyticity in infinite dimensional spaces | infinite dimensional spaces | tensor product Taylor | N‐term approximation | 65N30 | N-term approximation | Infinite dimensional spaces | Tensor product Taylor | Legendre- and Chebyshev polynomial approximation | Analyticity in infinite dimensional spaces | MATHEMATICS | Legendre- and Chebyshev polynomial approximation MSC Primary: 35J61 | INEQUALITY

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 12/2012, Volume 63, Issue 6, pp. 1067 - 1084

We establish the inviscid limit of the viscous shallow water equations to the Saint-Venant system. For the viscous equations, the viscosity terms are more...

Shallow water equations | Uniform estimates | Viscous | 35B25 | 35L80 | Inviscid limit | Entropy | Theoretical and Applied Mechanics | 35L45 | 35L65 | Engineering | Mathematical Methods in Physics | 76N17 | Primary 35B30 | Secondary 76B15 | Inviscid | 35B35 | Viscous solutions | Entropy flux | Measure-valued solutions | 35Q31 | Entropy dissipation measures | 35Q30 | Friction | Finite energy | 35Q35 | Saint-Venant system | Entropy solutions | H −1 -compactness | compactness | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | H-1-compactness | ISENTROPIC GAS-DYNAMICS | CONVERGENCE | LAX-FRIEDRICHS SCHEME | EULER EQUATIONS | Water

Shallow water equations | Uniform estimates | Viscous | 35B25 | 35L80 | Inviscid limit | Entropy | Theoretical and Applied Mechanics | 35L45 | 35L65 | Engineering | Mathematical Methods in Physics | 76N17 | Primary 35B30 | Secondary 76B15 | Inviscid | 35B35 | Viscous solutions | Entropy flux | Measure-valued solutions | 35Q31 | Entropy dissipation measures | 35Q30 | Friction | Finite energy | 35Q35 | Saint-Venant system | Entropy solutions | H −1 -compactness | compactness | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | H-1-compactness | ISENTROPIC GAS-DYNAMICS | CONVERGENCE | LAX-FRIEDRICHS SCHEME | EULER EQUATIONS | Water

Journal Article

No results were found for your search.

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