Nonlinear-estimate approach to the regularity of infinite-dimensional parabolic problems

We show how the use of nonlinear symmetries of higher-order derivatives allows one to study the regularity of solutions of nonlinear differential equations in the case where the classical Cauchy-Liouville-Picard scheme is not applicable. In particular, we obtain nonlinear estimates for the boundedne...

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Bibliographic Details
Date:2006
Main Authors: Antoniouk, A.Val., Antoniouk, A.Vict.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164994
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Nonlinear-estimate approach to the regularity of infinite-dimensional parabolic problems / A.Val. Antoniouk, A.Vict. Antoniouk // Український математичний журнал. — 2006. — Т. 58, № 5. — С. 579–596. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine