Publication:
Existence and uniqueness of a blow-up solution in sense of semigroup theory of a degenerate semilinear parabolic problem

1

Issued Date

2011-09-29

Resource Type

Conference Paper

Other identifier(s)

2-s2.0-80053154052

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Proceedings of the 4th WSEAS International Conference on Finite Differences - Finite Elements - Finite Volumes - Boundary Elements, F-and-B '11. (2011), 70-75

Suggested Citation

Parnumart Sawangtong, Wannika Jumpen Existence and uniqueness of a blow-up solution in sense of semigroup theory of a degenerate semilinear parabolic problem. Proceedings of the 4th WSEAS International Conference on Finite Differences - Finite Elements - Finite Volumes - Boundary Elements, F-and-B '11. (2011), 70-75. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/12139

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Title

Existence and uniqueness of a blow-up solution in sense of semigroup theory of a degenerate semilinear parabolic problem

Author(s)

Parnumart Sawangtong
 Wannika Jumpen

Other Contributor(s)

King Mongkut's University of Technology North Bangkok
 Mahidol University

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: u t - (a(x)u x ) 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.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/123456789/12139

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Scopus 2011-2015