scientific article; zbMATH DE number 6918291

zbMath1393.35260MaRDI QIDQ4580391

Elhoussine Azroul, Mohammed Abdellaoui

Publication date: 15 August 2018

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2018/132/abstr.html#latest

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zbMATH Keywords

stabilityrenormalized solutionnonlinear parabolic problems\(p\)-capacitygeneral measure

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Approximation by other special function classes (41A30) PDEs with measure (35R06) Capacity theory and generalizations (32U20)

Related Items (13)

Stability/nonstability properties of renormalized/entropy solutions for degenerate parabolic equations with \(L^1\)/measure data ⋮ Regularizing effect for some parabolic problems with perturbed terms and irregular data ⋮ Existence of renormalized solutions to a nonlinear parabolic boundary value problem with a singular lower order term and a nonhomogeneous datum ⋮ Generalized solutions for a class of nonlinear parabolic problems with irregular data in unbounded domains ⋮ Asymptotic behavior of solutions for nonlinear parabolic operators with natural growth term and measure data ⋮ Nonlinear parabolic problem with/without an explosive condition on the boundary ⋮ Generalized parabolic problems having a gradient term with natural growth and a measure initial data ⋮ Stability and existence results for a class of nonlinear parabolic equations with three lower order terms and measure data using Lorentz spaces ⋮ Perturbation effects for some nonlinear parabolic equations with lower order term and \(L^1\)-data ⋮ Asymptotic behavior result for obstacle parabolic problems with measure data ⋮ Homogenization of a nonlinear parabolic problem corresponding to a Leray-Lions monotone operator with right-hand side measure ⋮ On some regularity results of parabolic problems with nonlinear perturbed terms and general data ⋮ Existence and uniqueness of renormalized solutions for initial boundary value parabolic problems with possibly very singular right-hand side

Cites Work

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• Removable singularities for linear parabolic equations
• Equivalence between entropy and renormalized solutions for parabolic equations with smooth measure data
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• Renormalised solutions of nonlinear parabolic problems with L¹ data: existence and uniqueness
• Nonlinear parabolic equations with natural growth conditions and L1 data

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