ESTIMATES OF SOLUTIONS OF PARABOLIC SYSTEMS IN WEIGHTED HÖLDER CLASSES AND SOME OF THEIR APPLICATIONS

DOI10.1070/SM1981V038N02ABEH001225zbMath0453.35044OpenAlexW2060454834MaRDI QIDQ3900402

V. S. Belonosov

Publication date: 1981

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1981v038n02abeh001225

zbMATH Keywords

parabolic systemsweighted Hölder classesestimates of solutions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Lipschitz (Hölder) classes (26A16) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic systems (35K45) Second-order parabolic systems (35K40)

Related Items (5)

Supremum principles for the higher-order derivatives of solutions to the Dirichlet problem for parabolic equations without compatibility conditions between the data ⋮ Linear subdiffusion in weighted fractional Hölder spaces ⋮ Relay control of an evolution process in a Banach space in a neighborhood of an unstable stationary regime ⋮ The Cauchy problem for the fractional diffusion equation in a weighted Hölder space ⋮ Problem of the solvability of initial-boundary-value problems for quasilinear parabolic systems

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