Event
01_1
| 제출번호(No.) | 0012 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Applied Mathematics (AM) |
| 영문제목 (Title(Eng.)) |
Asymptotic behavior of solutions for a quasilinear parabolic equation with time-dependent coefficient source |
| 저자(Author(s)) |
Rui Yang1 Pusan National University 1 |
| 초록본문(Abstract) | A quasilinear parabolic equation with time-dependent coefficient source under Dirichlet boundary condition is studied in this paper. By the technique of differential inequalities, the conditions on the nonlinearities to guarantee that $u(x, t)$ exists globally or blows up at some finite time are established, respectively. Finally, upper and lower bounds of the blow-up time when blow-up does occur are derived. |
| 분류기호 (MSC number(s)) |
34B16, 34B18, 35B40 |
| 키워드(Keyword(s)) | quasilinear parabolic, time-dependent, blow-up, lower bound, upper bound |
| 강연 형태 (Language of Session (Talk)) |
English |