P. SawangtongW. JumpenKing Mongkut's University of Technology North BangkokMahidol UniversityCentre of Excellence in Mathematics CHE2018-09-242018-09-242010-12-01International Conference on Applied Mathematics, Simulation, Modelling - Proceedings. (2010), 13-18179243322-s2.0-77957007473https://repository.li.mahidol.ac.th/handle/20.500.14594/29317Here, before blow-up occurs, we establish the existence and uniqueness of a blow-up solution of a degenerate parabolic initial-boundary value problem,xqut-(xβux) x=xq(u) where q and β are given constants and f is a suitable function. We further give the sufficient condition to blow-up in finite time. Finally the blow-up set of a blow-up solution u is shown.Mahidol UniversityMathematicsConference PaperSCOPUS