Stabilization of solutions of quasilinear second order parabolic equations in domains with non-compact boundaries
Journal Article
·
· Sbornik. Mathematics
- Institute of Applied Research, Sterlitamak (Russian Federation)
- Sterlitamak State Pedagogical Academy, Sterlitamak (Russian Federation)
The first mixed problem with homogeneous Dirichlet boundary condition and initial function with compact support is considered for quasilinear second order parabolic equations in a cylindrical domain D=(0,{infinity})x{Omega}. Upper bounds are obtained, which give the rate of decay of the solutions as t{yields}{infinity} as a function of the geometry of the unbounded domain {Omega} subset of R{sub n}, n{>=}2. Bibliography: 18 titles.
- OSTI ID:
- 21418065
- Journal Information:
- Sbornik. Mathematics, Vol. 201, Issue 9; Other Information: DOI: 10.1070/SM2010v201n09ABEH004111; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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