The Cauchy problem for the heat equation in Zygmund spaces

DOI10.1007/s10625-005-0225-zzbMath1141.35385OpenAlexW1971210813WikidataQ115383985 ScholiaQ115383985MaRDI QIDQ2567832

A. N. Konenkov

Publication date: 13 October 2005

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10625-005-0225-z

zbMATH Keywords

anisotropic Hölder spacesSobolev-Slobodetskii spacesanisotropic Zygmund spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial value problems for second-order parabolic equations (35K15) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (5)

Solvability of a model oblique derivative problem for the heat equation in the Zygmund space \(H_1\) ⋮ Uniqueness for Keller-Segel-type chemotaxis models ⋮ The Cauchy problem for parabolic equations in Zygmund spaces ⋮ The Dirichlet problem in Zygmund spaces in a square ⋮ Boundary value problems for parabolic equations in Zygmund spaces

Cites Work

• Su alcune proprieta dell'integrale di Poisson relativo ad una equazione parabolica di ordine 2m a coefficienti non costanti

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