Fractional approximations of abstract semilinear parabolic problems

DOI10.3934/dcdsb.2020095zbMath1452.35085OpenAlexW3014410229MaRDI QIDQ2211520

Marcelo J. D. Nascimento, Flank D. M. Bezerra, Alexandre Nolasco De Carvalho

Publication date: 11 November 2020

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020095

zbMATH Keywords

global attractorsabstract parabolic equationsfractional approximation of strongly damped wave equationsfractional powers of sectorial operators

Mathematics Subject Classification ID

Attractors (35B41) Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Semilinear parabolic equations (35K58)

Related Items (6)

Logarithmic counterpart for semilinear Schrödinger equations ⋮ On the limit of solutions for a reaction-diffusion equation containing fractional Laplacians ⋮ Chebyshev polynomials for higher order differential equations and fractional powers ⋮ A higher-order non-autonomous semilinear parabolic equation ⋮ On a cascade system of Schrödinger equations. Fractional powers approach ⋮ On spectral and fractional powers of damped wave equations

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