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The Cauchy Problem for Parabolic Equations with Degeneration

Ivan Pukal’skii, Bohdan Yashan

Advances in Mathematical Physics · 2020

doi:10.1155/2020/1245143 (opens in a new tab)

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Abstract

Annotation . For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set of points. Conditions for the existence and uniqueness of the solution of the problem in Hölder spaces with power weight are found.

Abstract licence: CC BY

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