On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing. I: Analysis

DOI10.1016/j.na.2017.11.013zbMath1381.26018arXiv1603.06337OpenAlexW2306286429MaRDI QIDQ681980

V. B. Surya Prasath, Dmitry A. Vorotnikov

Publication date: 13 February 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06337

zbMATH Keywords

image processingexistence of solutionscritical exponentBV functionsvariable exponent spaces\(p(t,x)\)-Laplacian

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Weak solutions to PDEs (35D30) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Singular parabolic equations (35K67) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion ⋮ Weighted \(L^{p(\cdot)}\)-regularity for fully nonlinear parabolic equations ⋮ Hessian estimates for nondivergence parabolic and elliptic equations with partially BMO coefficients

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