Complete blow-up of solutions for degenerate semilinear parabolic first initial-boundary value problems
In: Applied mathematics and computation, Jg. 177 (2006), Heft 2, S. 777-784
Online
academicJournal
- print, 16 ref
Let q be a nonnegative real number, and tb be a positive constant. This paper studies integral solutions of the following degenerate semilinear parabolic first initial-boundary value problem: xqut - uxx = f(u), 0 < x.< 1, 0 < t < tb, u(x,0) = u0(x), 0 ≤ x ≤ 1, u(0,t) =0 = u(1,t), 0 < t < tb, where f(0) > 0, f'(0) ≥ 0,f(u) > 0 for u > 0, f(u) = o(u3) as u → oo, and u0(x) ∈ C2+x([0, 1]) for some constant α ∈ (0,1) is a nontrivial and nonnegative function such that u0 + f(u0) ≥ 0 in (0,1), and u0(0) = 0 = u0(1). The complete blow-up of the integral solutions in the interval (0,1) is investigated.
Titel: |
Complete blow-up of solutions for degenerate semilinear parabolic first initial-boundary value problems
|
---|---|
Autor/in / Beteiligte Person: | CHAN, C. Y ; CHAN, W. Y |
Link: | |
Zeitschrift: | Applied mathematics and computation, Jg. 177 (2006), Heft 2, S. 777-784 |
Veröffentlichung: | New York, NY: Elsevier, 2006 |
Medientyp: | academicJournal |
Umfang: | print, 16 ref |
ISSN: | 0096-3003 (print) |
Schlagwort: |
|
Sonstiges: |
|