Existence of solutions for gradient systems with application to diffusion problems involving nonconvex energies

DOI10.1016/S0252-9602(18)30845-2zbMath1438.34213OpenAlexW2898259193MaRDI QIDQ2313172

Sahbi Boussandel

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30845-2

zbMATH Keywords

Galerkin methodexistence of solutionsdiffusion equationsgradient systemssemi-coercivenesstype (M) condition

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Nonlinear evolution equations (47J35)

Cites Work

• Global existence and maximal regularity of solutions of gradient systems
• Existence and uniqueness of renormalized solutions for a class of degenerate parabolic equations
• Compact sets in the space \(L^ p(0,T;B)\)
• On the solvability of degenerate quasilinear parabolic equations of second order
• Existence and uniqueness of non-trivial solution of parabolic \(p\)-Laplacian-like differential equation with mixed boundaries
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