Blow-up for a degenerate and singular parabolic equation with a nonlocal source

Nitithorn SukwongPanumart SawangtongSanoe KoonprasertWannika SawangtongKing Mongkut's University of Technology North BangkokThailand Ministry of EducationMahidol University2020-01-272020-01-272019-12-01Advances in Difference Equations. Vol.2019, No.1 (2019)16871847168718392-s2.0-85068750284https://repository.li.mahidol.ac.th/handle/20.500.14594/51204© 2019, The Author(s). This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occurs, the blow-up set for the problem is investigated. Finally, the asymptotic behaviour of the solution when time converges to the blow-up time is studied.Mahidol UniversityMathematicsBlow-up for a degenerate and singular parabolic equation with a nonlocal sourceArticleSCOPUS10.1186/s13662-019-2219-9