On a generalized nonlinear heat equation in Besov and Triebel-Lizorkin spaces

DOI10.1002/MANA.201600315zbMath1373.35159OpenAlexW2614676512MaRDI QIDQ4588952

Franka Baaske, Hans-Juergen Schmeisser

Publication date: 6 November 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201600315

zbMATH Keywords

mild and strong solutionsfunction spacesgeneralized nonlinear heat equationmolecular and wavelet decompositions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Higher-order parabolic equations (35K25)

Related Items (7)

Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ On the Cauchy problem for a generalized nonlinear heat equation ⋮ Bochner's subordination and fractional caloric smoothing in Besov and Triebel–Lizorkin spaces ⋮ Reduction of integration domain in Triebel–Lizorkin spaces ⋮ On the existence and uniqueness of mild and strong solutions of a generalized nonlinear heat equation ⋮ On the Cauchy problem for hyperdissipative Navier-Stokes equations in super-critical Besov and Triebel-Lizorkin spaces ⋮ Convolution inequalities for Besov and Triebel–Lizorkin spaces, and applications to convolution semigroups

This page was built for publication: On a generalized nonlinear heat equation in Besov and Triebel-Lizorkin spaces