On the existence and uniqueness of mild and strong solutions of a generalized nonlinear heat equation

DOI10.4171/ZAA/1638zbMath1423.35154OpenAlexW2960037879WikidataQ127484508 ScholiaQ127484508MaRDI QIDQ2327738

Franka Baaske, Hans-Juergen Schmeisser

Publication date: 15 October 2019

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1638

zbMATH Keywords

well-posednessmild and strong solutionsnonlinear generalized heat equationsupercritical function spaces of Besov and Triebel-Lizorkin type

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 (2)

Bochner's subordination and fractional caloric smoothing in Besov and Triebel–Lizorkin spaces ⋮ On the Cauchy problem for hyperdissipative Navier-Stokes equations in super-critical Besov and Triebel-Lizorkin spaces

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