Qualitative properties for solutions of reaction-diffusion parabolic systems and their gradients

DOI10.1016/j.na.2007.01.010zbMath1138.35339OpenAlexW2088337553MaRDI QIDQ2475131

Stella Vernier Piro

Publication date: 10 March 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.01.010

zbMATH Keywords

maximum principledecay bounds

Mathematics Subject Classification ID

Related Items (2)

Explicit decay estimates for solutions to nonlinear parabolic systems ⋮ Decay estimates for 1-D parabolic PDES with boundary disturbances

Cites Work

• Remarks on the maximum principle for parabolic equations and its applications
• Maximum principles and their applications
• On nonlinear reaction-diffusion systems
• Halbgruppen und semilineare Anfangs-Randwertprobleme
• Decay bounds in initial-boundary value problems for nonlinear parabolic systems
• Decay bounds for solutions of second order parabolic problems and their derivatives. III.
• REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
• Existence and stability of solutions for semi-linear parabolic systems, and applications to some diffusion reaction equations
• DECAY BOUNDS FOR SOLUTIONS OF SECOND ORDER PARABOLIC PROBLEMS AND THEIR DERIVATIVES
• Decay bounds for solutions of second order parabolic problems and their derivatives IV
• A strong maximum principle for parabolic equations
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