BSU Bulletin. Mathematics, Informatics
Bibliographic description:
THE CAUCHY PROBLEM FOR PARABOLIC SYSTEMS IN ANISOTROPIC ZYGMUND SPACES // BSU Bulletin. Mathematics, Informatics. - 2023. №3. . - С. 14-22.
Title:
THE CAUCHY PROBLEM FOR PARABOLIC SYSTEMS IN ANISOTROPIC ZYGMUND SPACES
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Annotation:
The article deals with the Cauchy problem for a system of second-order parabolic equations with constant coefficients in weighted anisotropic Zygmund spaces. Estimates of the Poisson potential are estab- lished for such parabolic systems. The obtained result is used to construct a smoothness scale for solving the Cauchy problem for parabolic systems with zero right hand side in Zygmund spaces with weight.
Keywords:
system of parabolic equations, Cauchy problem, H¨older spaces, Zygmund spaces, Poisson potential.
List of references:
Article.pdf