- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2020 13 (5)
- Authors
- Polkovnikov, Alexander N.
- Contact information
- Polkovnikov, Alexander N.: Siberian Federal University Krasnoyarsk, Russian Federation; ; OCRID: 0000-0002-7066-3219
- Keywords
- non-coercive problem; parabolic problem; Faedo-Galerkin method
- Abstract
We consider initial boundary value problem for uniformly 2-parabolic differential operator of second order in cylinder domain in Rn with non-coercive boundary conditions. In this case there is a loss of smoothness of the solution in Sobolev type spaces compared with the coercive situation. Using by Faedo-Galerkin method we prove that problem has unique solution in special Bochner space
- Pages
- 547–558
- DOI
- 10.17516/1997-1397-2020-13-5-547-558
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/135909
Journal of Siberian Federal University. Mathematics & Physics / On Initial Boundary Value Problem for Parabolic Differential Operator with Non-coercive Boundary Conditions
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