Strong solutions and the initial data space for some non-uniformly parabolic equations
https://doi.org/10.17586/22208054201561146153
Abstract
This paper is devoted to strong solutions of the first and second initialboundary problems for nonuniformly 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.
Supporting agencies: The author is grateful to Professor Shulin Zhou for his comments about this work. This work was supported by Beijing International Center for Mathematical Research.
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Review
For citations:
Skryabin M.A. Strong solutions and the initial data space for some non-uniformly parabolic equations. Nanosystems: Physics, Chemistry, Mathematics. 2015;6(1):146-153. https://doi.org/10.17586/22208054201561146153
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