Results 31 to 40 of about 3,540 (98)
On the strongly damped wave equation and the heat equation with mixed boundary conditions
Abstract and Applied Analysis, Volume 5, Issue 3, Page 175-189, 2000., 2000 We study two one‐dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.
Aloisio F. Neves
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On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media [PDF]
, 2015 We study an elliptic equation with measurable coefficients arising from photo-acoustic imaging in inhomogeneous media. We establish Holder continuity of weak solutions and obtain pointwise bounds for Green's functions subject to Dirichlet or Neumann ...
Ammari, Habib +3 more
core +1 more source
Weakly hyperbolic equations with time degeneracy in Sobolev spaces
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 239-256, 1997., 1997 The theory of nonlinear weakly hyperbolic equations was developed during the last decade in an astonishing way. Today we have a good overview about assumptions which guarantee local well posedness in spaces of smooth functions (C∞, Gevrey). But the situation is completely unclear in the case of Sobolev spaces.
Michael Reissig
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On two-dimensional nonlocal Venttsel' problems in piecewise smooth domains [PDF]
, 2019 We establish the regularity results for solutions of nonlocal Venttsel' problems in polygonal and piecewise smooth two-dimensional ...
Creo, Simone +3 more
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Well‐posedness and regularity results for a dynamic Von Kármán plate
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 237-244, 1995., 1994 We consider the problem of well‐posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through free edge conditions on the remainder of the boundary.
M. E. Bradley
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Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth
Advances in Nonlinear Analysis, 2020 In this paper, we prove a global Calderón-Zygmund type estimate in the framework of Lorentz spaces for a variable power of the gradients to the zero-Dirichlet problem of general nonlinear elliptic equations with the nonlinearities satisfying Orlicz ...
Liang Shuang, Zheng Shenzhou
doaj +1 more source
Global regularity for nonlinear systems with symmetric gradients [PDF]
arXiv, 2023 We study global regularity of nonlinear systems of partial differential equations depending on the symmetric part of the gradient with Dirichlet boundary conditions. These systems arise from variational problems in plasticity with power growth. We cover the full range of exponents $p \in (1,\infty)$.
arxiv
Remarks on the existence and decay of the nonlinear beam equation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 409-412, 1994., 1993 We will consider a class of nonlinear beam equation and we will prove the existence and decay weak ...
Jaime E. Mũnoz Rivera
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Regularity of optimal mapping between hypercubes
Advanced Nonlinear Studies, 2023 In this note, we establish the global C3,α{C}^{3,\alpha } regularity for potential functions in optimal transportation between hypercubes in Rn{{\mathbb{R}}}^{n} for n≥3n\ge 3. When n=2n=2, the result was proved by Jhaveri.
Chen Shibing, Liu Jiakun, Wang Xu-Jia
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Biharmonic eigen‐value problems and Lp estimates
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 469-480, 1990., 1989 Biharmonic eigen‐values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp‐estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen‐values of the associated biharmonic operators. The
Chaitan P. Gupta, Ying C. Kwong
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