Cauchy problem for the essentially infinite-dimensional heat equation on a surface in a Hilbert space

It is proved that the Cauchy problem for a simple parabolic equation with essentially infinite-dimensional coefficients on bounded level surfaces of smooth functions in a Hilbert space is uniformly well posed.

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Bibliographic Details
Date:1995
Main Authors: Bogdanskii, Yu. V., Богданський, Ю. В.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5466
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal