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Title: Existence and uniqueness of a blow-up solution in sense of semigroup theory of a degenerate semilinear parabolic problem
Authors: Wannika Sawangtong (Jumpen)
Keywords: Blow-up in finite time;Blow-up problems;Degenerate parabolic problems;Semigroup theory;Semilinear evolution problems;Semilinear parabolic problems
Issue Date: 2011
Publisher: 4th WSEAS International Conference on Finite Differences - Finite Elements - Finite Volumes - Boundary Elements, F-and-B '11
Citation: คณิตศาสตร์
Series/Report no.: ;70-75
Abstract: We prove under appropriate assumptions the existence and uniqueness in the sense of semigroup theory of a blow-up solution for a degenerate semilinear parabolic problem: ut - (a(x)ux)x = f(u) in (0, 1) × (0,∞) where f is a given function and a(0) = 0, a(x) > 0 on (0, 1] together with the Dirichlet boundary condition and the suitable initial condition.
Description: Scopus
ISSN: 978-960474298-1
Appears in Collections:Mathematics: International Proceedings

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