ISSN:
1572-9222
Keywords:
degenerate parabolic equations
;
long-time behavior
;
stabilization
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We show that any global nonnegative and bounded solution to the degenerate parabolic problemut-Δum+f(u)=0 qquad {\rm on} quad Ώ⊂ RN,u|{∂Ώ}=0converges to a single stationary state as time goes to infinity. Here m〉0, f is a restriction of a real analytic function defined on a sector containing the half-line [0, ∞), and f(u 1/m ) is a continuously differentiable function of u.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1026467729263