Strong solutions to the nonlinear heat equation in homogeneous Besov spaces

DOI10.1016/j.na.2006.07.020zbMath1124.35029OpenAlexW2069679090MaRDI QIDQ885306

Bo Zhang, Bao-Quan Yuan, Chang Xing Miao

Publication date: 8 June 2007

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.2006.07.020

zbMATH Keywords

well-posednessLittlewood-Paley trichotomyglobal self-similar solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items

Estimates on fractional power dissipative equations in function spaces, Space-time estimates on damped fractional wave equation, Space-time estimates of mild solutions of a class of higher-order semilinear parabolic equations in \(L^{p}\), Blowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms, Local well-posedness for a Lotka-Volterra system in Besov spaces, Composition estimates and well-posedness for Hardy-Hénon parabolic equations in Besov spaces, The rate of convergence on fractional power dissipative operator on some Sobolev type spaces, Remarks on infinite energy solutions of nonlinear wave equations

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