Decay bounds for solutions of second order parabolic problems and their derivatives. III.

DOI10.4171/ZAA/1224zbMath1072.35097OpenAlexW2054915322MaRDI QIDQ1770180

G. A. Philippin, Lawrence E. Payne

Publication date: 11 April 2005

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1224

zbMATH Keywords

maximum principlequasilinear parabolic problemexponential decay bounds

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (7)

Blow-up solutions, global existence, and exponential decay estimates for second order parabolic problems ⋮ Spatial decay bounds and continuous dependence on the data for a class of parabolic initial-boundary value problems ⋮ Exponential decay for quasilinear parabolic equations in any dimension ⋮ Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problems ⋮ Qualitative properties for solutions of reaction-diffusion parabolic systems and their gradients ⋮ Decay bounds for solutions of second order parabolic problems and their derivatives IV ⋮ Blow up, decay bounds and continuous dependence inequalities for a class of quasilinear parabolic problems

Cites Work

• Remarks on the maximum principle for parabolic equations and its applications
• Halbgruppen und semilineare Anfangs-Randwertprobleme
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• DECAY BOUNDS FOR SOLUTIONS OF SECOND ORDER PARABOLIC PROBLEMS AND THEIR DERIVATIVES
• A strong maximum principle for parabolic equations
• Unnamed Item

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