Asymptotic expansions for nonlocal diffusion equations in \(L^q\)-norms for \(1\leqslant q\leqslant 2\)

DOI10.1016/j.jmaa.2009.08.025zbMath1182.35080OpenAlexW2026871947MaRDI QIDQ1039462

Liviu I. Ignat, Julio D. Rossi

Publication date: 30 November 2009

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.2009.08.025

zbMATH Keywords

Fourier transformfractional Laplacian

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Integro-partial differential equations (35R09)

Related Items (7)

Asymptotic behaviour for local and nonlocal evolution equations on metric graphs with some edges of infinite length ⋮ Some \(L^2(\mathbb{R})\)-norm and \(L^1(\mathbb{R})\)-norm decay estimates for Cauchy Timoshenko type systems with a frictional damping or an infinite memory ⋮ Fujita exponents for evolution problems with nonlocal diffusion ⋮ Cauchy problem for fractional advection-diffusion-asymmetry equations ⋮ Nonexistence of global solutions for a class of nonlocal in time and space nonlinear evolution equations ⋮ Second critical exponent and life span for pseudo-parabolic equation ⋮ A Compactness Tool for the Analysis of Nonlocal Evolution Equations

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