The initial value problem for a nonlinear nonuniform parabolic equation

DOI10.1007/BF01774280zbMath0656.35057OpenAlexW2001339967MaRDI QIDQ1109964

Gustavo Ponce

Publication date: 1987

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01774280

zbMATH Keywords

initial value problemglobal existencesmooth solutionsmooth initial data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Global existence of solutions to a nonlinear evolution equation with nonlocal coefficients
• Existence and non-existence of global solutions for a semilinear heat equation
• Global existence of small solutions to a class of nonlinear evolution equations

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