Linear and semilinear higher order parabolic equations in \(\mathbb R^N\)

DOI10.1016/j.na.2011.08.022zbMath1228.35123OpenAlexW2073474765MaRDI QIDQ644191

Jan W. Cholewa, Aníbal Rodgriguez-Bernal

Publication date: 3 November 2011

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

analytic semigroupsfractional powers of operatorsinterpolation spacesBessel potential spaces

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for higher-order parabolic equations (35K30) Semilinear parabolic equations (35K58)

Related Items (12)

The two-obstacle problem for the parabolic biharmonic equation ⋮ Dissipative mechanism and global attractor for modified Swift-Hohenberg equation in $R^{N}$ ⋮ NLS-like equations in bounded domains: parabolic approximation procedure ⋮ Regularity of the obstacle problem for the parabolic biharmonic equation ⋮ Dissipative mechanism of a semilinear higher order parabolic equation in \(\mathbb R^N\) ⋮ Exponential attractor for the Cahn-Hilliard-Oono equation in \(\mathbb{R}^N\) ⋮ Exponential attractors for modified Swift-Hohenberg equation in \(\mathbb{R}^N\). ⋮ Critical and supercritical higher order parabolic problems in \(\mathbb R^N\) ⋮ On the Cahn-Hilliard equation in \(H^1(\mathbb R^N)\) ⋮ Smoothing and perturbation for some fourth order linear parabolic equations in \(\mathbb R^N\) ⋮ Global dynamics of a fourth-order parabolic equation describing crystal surface growth ⋮ Unnamed Item

Cites Work

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• Fractional powers of operators

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