Global higher regularity of solutions to singular \(p(x,t)\)-parabolic equations
type: Item
instance of: scholarly article
title: Global higher regularity of solutions to singular \(p(x,t)\)-parabolic equations
author: Sergey Shmarev
author: Stanislav Antontsev
author: I. V. Kuznetsov
published in: Journal of Mathematical Analysis and Applications
publication date: 2018-06-28T00:00:00Z
Mathematics Subject Classification ID: 35-XX
Mathematics Subject Classification ID: 34-XX
zbMATH DE Number: 6897065
zbMATH Keywords: singular parabolic equation
zbMATH Keywords: variable nonlinearity
zbMATH Keywords: higher regularity
zbMATH Keywords: strong solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2018.05.075
OpenAlex ID: W2806719249
Wikidata QID: Q59227286
cites work: Regularity results for a class of functionals with non-standard growth
cites work: Regularity results for parabolic systems related to a class of non-Newtonian fluids.
cites work: Existence theorems for solutions of parabolic equations with variable order of nonlinearity
cites work: Hölder continuity of solutions of parabolic equations with variable nonlinearity exponent
cites work: Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
cites work: Anisotropic parabolic equations with variable nonlinearity
cites work: Evolution PDEs with Nonstandard Growth Conditions
cites work: On the evolution \(p\)-Laplacian with nonlocal memory
cites work: Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
cites work: Hölder estimates for parabolic \(p(x, t)\)-Laplacian systems
cites work: Higher regularity of solutions to the singular \(p\)-Laplacean parabolic system
cites work: Degenerate parabolic equations
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Monotone operator theory for unsteady problems in variable exponent spaces
cites work: Elliptic partial differential equations of second order
cites work: Q5576913
cites work: On the Time Derivative in a Quasilinear Equation
cites work: The time derivative in a singular parabolic equation.
cites work: Regularity of minima: an invitation to the dark side of the calculus of variations.
cites work: On the continuity of solutions of the nonhomogeneous evolution \(p(x, t)\)-Laplace equation
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: The one dimensional parabolic \(p(x)\)-Laplace equation
cites work: Hölder continuity of weak solutions for parabolic equations with nonstandard growh conditions
cites work: Global gradient estimates for the parabolic \(p(x, t)\)-Laplacian equation
cites work: On the property of higher integrability for parabolic systems of variable order of nonlinearity
DOI: 10.1016/J.JMAA.2018.05.075
description: scientific article; zbMATH DE number 6897065