Existence results of renormalized solutions for nonlinear \(p(\cdot)\)-parabolic equations with possibly singular measure data
type: Item
instance of: scholarly article
title: Existence results of renormalized solutions for nonlinear \(p(\cdot)\)-parabolic equations with possibly singular measure data
zbMATH Open document ID: 1492.35157
author: Khadija Moutaouakil
author: Bouchra El Hamdaoui
author: Jaouad Bennouna
author: Hicham Redwane
published in: Advances in Operator Theory
publication date: 2021-08-03T00:00:00Z
Mathematics Subject Classification ID: 35K92
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R05
Mathematics Subject Classification ID: 35R06
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 7377749
zbMATH Keywords: general measure data
zbMATH Keywords: \(p(\cdot)\)-parabolic capacity
zbMATH Keywords: renormalized solution
zbMATH Keywords: singular equations
zbMATH Keywords: Sobolev spaces with variable exponent
MaRDI profile type: Publication
full work available at URL: s43036-021-00139-0
OpenAlex ID: W3171541067
cites work: Q5002969
cites work: A nonlinear parabolic problems with lower order terms and measure data
cites work: Removable singularities for linear parabolic equations
cites work: Weighted variable Sobolev spaces and capacity
cites work: Q2972886
cites work: Renormalized solutions for a nonlinear parabolic equation with variable exponents and \(L^{1}\)-data
cites work: Q4851005
cites work: Existence results for a nonlinear parabolic problems with lower order terms
cites work: Renormalised solutions of nonlinear parabolic problems with L1 data: existence and uniqueness
cites work: Q5696771
cites work: Stefan problems with nonlinear diffusion and convection
cites work: Existence et unicité de la solution renormalisée d'un problème parabolique non linéaire assez général
cites work: Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems
cites work: Renormalized solutions of nonlinear parabolic equations with diffuse measure data
cites work: Nonlinear elliptic and parabolic equations involving measure data
cites work: Q4033556
cites work: Nonlinear Elliptic Equations with Right Hand Side Measures
cites work: Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms
cites work: Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
cites work: Nonlinear parabolic equations with measure data
cites work: Variable Exponent, Linear Growth Functionals in Image Restoration
cites work: Definition and existence of renormalized solutions of elliptic equations with general measure data
cites work: On the Cauchy problem for Boltzmann equations: Global existence and weak stability
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: On the Fokker-Planck-Boltzmann equation
cites work: Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data
cites work: Parabolic capacity and soft measures for nonlinear equations
cites work: Removable Singularities of Solutions of Quasilinear Parabolic Equations
cites work: Q3134551
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: On the closable parts of pre-Dirichlet forms and the fine supports of underlying measures
cites work: Q4210546
cites work: Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\)
cites work: Q5426774
cites work: Overview of differential equations with non-standard growth
cites work: A Notion of Capacity Which Characterizes Removable Singularities
cites work: Q4693180
cites work: Q4282707
cites work: Q4021390
cites work: Sulproblema di Dirichlet per l'equazione del calore
cites work: Q5384114
cites work: Q4693168
cites work: Q5420961
cites work: Q4685185
cites work: Renormalized solutions of nonlinear parabolic equations with general measure data
cites work: On the notion of renormalized solution to nonlinear parabolic equations with general measure data
cites work: Approximation of diffuse measures for parabolic capacities
cites work: Diffuse measures and nonlinear parabolic equations
cites work: Parabolic Capacity and Sobolev Spaces
cites work: Existence results for nonlinear parabolic equations via strong convergence of truncations
cites work: Q4856845
cites work: Existence and uniqueness of “entropy” solutions of parabolic problems with L1 data
cites work: Q5286425
cites work: Q5150139
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Existence results of renormalized solutions for nonlinear \(p(\cdot)\)-parabolic equations with possibly singular measure data (DOI)
DOI: 10.1007/S43036-021-00139-0