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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 1, Pages 146–153
DOI: https://doi.org/10.17586/2220-8054-2015-6-1-146-153 (Mi nano928) 		 
Strong solutions and the initial data space for some non-uniformly parabolic equations

M. A. Skryabin

ITMO University, Saint Petersburg, Russia
Full-text PDF (203 kB)
DOI: https://doi.org/10.17586/2220-8054-2015-6-1-146-153
Abstract: This paper is devoted to strong solutions of the first and second initial-boundary problems for non-uniformly parabolic equations. These equations are used in mechanics, glaciology, rheology, image processing as well as for nanosystem modeling. The initial data space for these problems was explicitly described as Orlicz–Sobolev spaces.
Keywords: non-uniformly parabolic equation, strong solution, initial data space, Orlicz–Sobolev space.
Funding agency Grant number
Beijing International Center for Mathematical Research
This work was supported by Beijing International Center for Mathematical Research.
Received: 01.12.2014
Revised: 18.01.2015
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr
Language: English
Citation: M. A. Skryabin, “Strong solutions and the initial data space for some non-uniformly parabolic equations”, Nanosystems: Physics, Chemistry, Mathematics, 6:1 (2015), 146–153
Citation in format AMSBIB
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\by M.~A.~Skryabin
\paper Strong solutions and the initial data space for some non-uniformly parabolic equations
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 1
\pages 146--153
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