Some fundamental a priori estimates for weak solutions of the evolution p-Laplacian equation

DOI10.1080/00036811.2019.1584289zbMath1454.35039OpenAlexW2915300900MaRDI QIDQ5140812

Lineia Schütz, Juliana S. Ziebell, P. L. Guidolin

Publication date: 17 December 2020

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1584289

zbMATH Keywords

\(p\)-Laplacian evolution equation\(L^1\) contraction\(L^q\) continuity

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (1)

A note on comparison principle for \(p\)-Laplacian evolution type equation

Cites Work

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• Degenerate parabolic equations
• A priori \(L^\infty\)-estimate and existence of solutions for some nonlinear parabolic equations
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• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Optimality of integrability estimates for advection-diffusion equations
• On some energy inequalities and supnorm estimates for advection-diffusion equations in \(\mathbb R^n\)
• On the Hardy--Littlewood Theorem for Functions of Bounded Variation
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations

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