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. На обмежених поверхнях рівня гладких функцій у гільберговому просторі доведена рівномірна...

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Published in:Український математичний журнал
Date:1995
Main Author: Bogdansky, Yu.V.
Format: Article
Language:English
Published: Інститут математики НАН України 1995
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/165006
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Cauchy problem for the essentially infinite-dimensional heat equation on a surface in a Hilbert space / Yu.V. Bogdansky // Український математичний журнал. — 1995. — Т. 47, № 6. — С. 737–746. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine