Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637011 | Applied Mathematics and Computation | 2006 | 8 Pages |
Abstract
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 0 for u > 0, f(u) = o(u3) as u â â, and u0(x) â C2+α([0, 1]) for some constant α â (0, 1) is a nontrivial and nonnegative function such that u0â³+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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
C.Y. Chan, W.Y. Chan,