The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICS AND COMPUTERS IN SIMULATION
Transactions ID Number: 20-814
Full Name: Panumart Sawangtong
Position: Lecturer
Age: ON
Sex: Male
Address: Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, 1518 Bangsue, Bangkok 10800
Country: THAILAND
Tel: 853421112
Tel prefix: +66
Fax:
E-mail address: panumarts@kmutnb.ac.th
Other E-mails: pa_sawangtong@yahoo.com
Title of the Paper: Complete blow-up for a degenerate semilinear parabolic problem in the sense of semigroup theory
Authors as they appear in the Paper: Parnumart Sawangtong, Wannika Jumpen
Email addresses of all the authors: panumarts@kmutnb.ac.th, scwjp@mahidol.ac.th
Number of paper pages: 8
Abstract: Before blow-up occurs, under certain conditions, we establish a unique 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 specified function and a(0) = 0, a(x) > 0 on (0, 1] together with the Dirichlet boundary condition and the suitable initial condition. The blow-up set of such a blow-up solution u is given. Furthermore, the sufficient condition to guarantee the occurrence for blow-up in finite time is shown.
Keywords: Blow-up problems, Semilinear parabolic problems, Semigroup theory, Semilinear evolution problems, Blow-up in finite time, Degenerate parabolic problems
EXTENSION of the file: .pdf
Special (Invited) Session: Existence and uniqueness of a blow-up solution in sense of semigroup theory of a degenerate semilinear parabolic problem
Organizer of the Session: 652-219
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