Existence results for a class of nonlinear parabolic equations with two lower order terms

DOI10.4064/am41-2-8zbMath1327.35202OpenAlexW2327396999MaRDI QIDQ2928184

Mohamed Hammoumi, Ahmed Youssfi, Ahmed Aberqi, Mounir Mekkour, Jaouad Bennouna

Publication date: 6 November 2014

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am41-2-8

zbMATH Keywords

Sobolev spacenonlinear parabolic equationsrenormalized solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Cites Work

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• Ordinary differential equations, transport theory and Sobolev spaces
• Renormalized solutions for a class of nonlinear evolution problems
• Existence and regularity of renormalized solutions for some elliptic problems involving derivatives of nonlinear terms
• EXISTENCE RESULT FOR NONLINEAR PARABOLIC EQUATIONS WITH LOWER ORDER TERMS
• On the existence of weak solutions for quasilinear parabolic initial-boundary value problems
• Renormalised solutions of nonlinear parabolic problems with L¹ data: existence and uniqueness
• Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems

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