Uniqueness for the cauchy problem for nonlinear parabolic equations and inequalities

DOI10.1080/00036819108840027zbMath0702.35138OpenAlexW2067054589MaRDI QIDQ3480540

Alan V. Lair

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00036819108840027

zbMATH Keywords

uniquenessCauchy problemexponential growth

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Partial differential inequalities and systems of partial differential inequalities (35R45) Initial value problems for second-order parabolic equations (35K15)

Cites Work

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• A necessary and sufficient condition for uniqueness of solutions of singular differential inequalities
• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• Uniqueness and representation theorems for the inhomogeneous heat equation
• On the Uniqueness of the Cauchy Problem for Parabolic Equations
• Uniqueness and Representation Theorems for Parabolic Equations
• Bounds for the fundamental solution of a parabolic equation
• CAUCHY'S PROBLEM FOR DEGENERATE SECOND ORDER QUASILINEAR PARABOLIC EQUATIONS
• Sur les solutions des équations du type parabolique déterminées dans une région illimitée

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