Solution to nonlinear parabolic equations related to \(P\)-Laplacian

DOI10.1007/s11401-012-0729-9zbMath1257.35115OpenAlexW2071234923MaRDI QIDQ1928193

Hua-Shui Zhan

Publication date: 2 January 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0729-9

zbMATH Keywords

existenceMoser's iteration method\(\sigma \)-finite measure

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items

The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation ⋮ Evolutionary \(p(x)\)-Laplacian equation with a convection term

Cites Work

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• Degenerate parabolic equations
• Cauchy problem of some doubly degenerate parabolic equations with initial datum a measure
• Harnack estimates for weak solutions to a singular parabolic equation
• Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\)
• Hölder estimates for quasilinear doubly degenerate parabolic equations
• Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
• Non-negative solutions of generalized porous medium equations
• Hölder continuity of the gradient of the solutions of certain degenerate parabolic equations
• Large time behaviour of solutions of the porous medium equation in bounded domains
• Source-type solutions of a quasilinear degenerate parabolic equation with absorption
• Cauchy problem and initial traces for a doubly nonlinear degenerate parabolic equation
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
• Extinction and positivity for a doubly nonlinear degenerate parabolic equation
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• The Initial Trace of a Solution of the Porous Medium Equation
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• The Cauchy Problem for u t = Δu m When 0 < m < 1
• The Cauchy problem for ut = div(|▿u|p−2▿u) when
• On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation