\(L^{\infty }\) and decay estimates for higher-order semilinear diffusion-absorption equations

DOI10.1016/j.jmaa.2007.05.082zbMath1141.35010OpenAlexW1989311788MaRDI QIDQ2474961

Victor A. Galaktionov, Manuela Chaves

Publication date: 6 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.082

zbMATH Keywords

scaling techniquesbounded initial data

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order parabolic equations (35K30)

Related Items (2)

On global solutions and blow-up for Kuramoto-Sivashinsky-type models, and well-posed Burnett equations ⋮ Large time behavior of ODE type solutions to higher-order semilinear parabolic equations with small initial data

Cites Work

• Semilinear evolution equations in Banach spaces
• Geometric theory of semilinear parabolic equations
• Local and global existence of solutions to semilinear parabolic initial value problems
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• Partial differential equations. 3: Nonlinear equations
• Global solutions of higher-order semilinear parabolic equations in the supercritical range
• Existence and blow-up for higher-order semilinear parabolic equations: Majorizing order-preserving operators
• On very singular similarity solutions of a higher-order semilinear parabolic equation
• The Cauchy problem for critical and subcritical semilinear parabolic equations in \(L^r\). I
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