Cauchy Problem for Nonuniformly Parabolic Equations with Degeneracy

In spaces of classical functions with power weight, we prove the existence and uniqueness of a solution of the Cauchy problem for nonuniformly parabolic equations without restrictions on the power order of degeneracy of the coefficients. We obtain an estimate for the solution of the problem in the c...

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Bibliographic Details
Date:2003
Main Authors: Pukalskyi, I. D., Пукальський, І. Д.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4021
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal