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

Parnumart SawangtongWannika JumpenKing Mongkut's University of Technology North BangkokMahidol University2018-05-032018-05-032011-09-29Proceedings of the 4th WSEAS International Conference on Finite Differences - Finite Elements - Finite Volumes - Boundary Elements, F-and-B '11. (2011), 70-752-s2.0-80053154052https://repository.li.mahidol.ac.th/handle/20.500.14594/12139We 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.Mahidol UniversityMathematicsExistence and uniqueness of a blow-up solution in sense of semigroup theory of a degenerate semilinear parabolic problemConference PaperSCOPUS