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/20.500.14594/12139
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Existence and uniqueness of a blow-up solution in sense of semigroup theory of a degenerate semilinear parabolic problem
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.
