Dissipative mechanism of a semilinear higher order parabolic equation in \(\mathbb R^N\)

DOI10.1016/j.na.2011.08.022zbMath1242.35055OpenAlexW2073474765MaRDI QIDQ413591

Jan W. Cholewa, Aníbal Rodgriguez-Bernal

Publication date: 7 May 2012

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.2011.08.022

zbMATH Keywords

attractorscritical exponentsasymptotic behavior of solutionssemilinear parabolic equationsinitial value problems for higher order parabolic equationslack of a maximum principlespaces of Bessel potentials

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Critical exponents in context of PDEs (35B33) Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)

Related Items (8)

Dissipative mechanism and global attractor for modified Swift-Hohenberg equation in $R^{N}$ ⋮ NLS-like equations in bounded domains: parabolic approximation procedure ⋮ Lattice dynamical systems: dissipative mechanism and fractal dimension of global and exponential attractors ⋮ Exponential attractors for modified Swift-Hohenberg equation in \(\mathbb{R}^N\). ⋮ Linear and semilinear higher order parabolic equations in \(\mathbb R^N\) ⋮ Critical and supercritical higher order parabolic problems in \(\mathbb R^N\) ⋮ On the Cahn-Hilliard equation in \(H^1(\mathbb R^N)\) ⋮ On Fractal Dimension of Global and Exponential Attractors for Dissipative Higher Order Parabolic Problems in $$\mathbb {R}^N$$ with General Potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear and semilinear higher order parabolic equations in \(\mathbb R^N\)
• Extremal equilibria for monotone semigroups in ordered spaces with application to evolutionary equations
• Strongly damped wave equations in \(W^ {1,p}_ 0(\Omega)\times L^ p(\Omega)\)
• Geometric theory of semilinear parabolic equations
• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• Bounded \(H_ \infty\)-calculus for elliptic operators
• Attractors for reaction-diffusion equations in unbounded domains
• On the existence of the compact global attractor for semilinear reaction diffusion systems on \(\mathbb{R}^ N\)
• Attractors for partly dissipative reaction diffusion systems in \(\mathbb{R}^n\)
• Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
• Dynamics of the modified viscous Cahn-Hilliard equation in \(\mathbb{R}^N\)
• Semistable extremal ground states for nonlinear evolution equations in unbounded domains
• Continuation and asymptotics of solutions to semilinear parabolic equations with critical non\-linearities
• LINEAR PARABOLIC EQUATIONS IN LOCALLY UNIFORM SPACES
• NON WELL POSEDNESS OF PARABOLIC EQUATIONS WITH SUPERCRITICAL NONLINEARITIES
• The attractor for a nonlinear reaction-diffusion system in an unbounded domain
• Dissipative parabolic equations in locally uniform spaces
• Attractors of partial differential evolution equations in an unbounded domain

This page was built for publication: Dissipative mechanism of a semilinear higher order parabolic equation in \(\mathbb R^N\)