AbstractLet T⩽∞,a,q and x0 be constants with a>0,q⩾0 and 0<x0<a. Existence of a unique solution u is established for the following degenerate semilinear parabolic initial-boundary value problem:xqut−uxx=f(u(x0,t)),0<x<a,0<t<T,u(x,0)=u0(x)⩾0,0⩽x⩽a,u(0,t)=u(a,t)=0,0<t<T,where f and u0 are given functions. We show that under certain conditions, u blows up in a finite time, and the set of blow-up points is the entire interval [0,a]
AbstractWe study classical nonnegative solutions u(x,t) of the semilinear parabolic inequalities0⩽ut...
AbstractThe initial and boundary value problem for the degenerate parabolic equation vt = Δ(ϑ(v)) + ...
By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the...
In this paper, we are dealing with the following degenerate parabolic problem: (Pt) { ¶tu - |x|2Du =...
AbstractAn elementary proof for the existence of solutions to semilinear degenerate parabolic equati...
Abstract. We discuss on recent results concerning the asymptotics near blow-up of nonnega-tive solut...
ABSTRACT. Let a and T be positive constants, D = (0; a), D = [0; a], = D (0; T]; and Lu = xqut uxx...
We consider nonnegative solutions of degenerate parabolic equations with a singular absorption term ...
AbstractLet Ω be a bounded smooth domain in RN. We consider the problem ut=Δu+V(x)up in Ω×[0,T), wit...
Abstract We study the existence and uniqueness of solutions of ∂tu − ∆u + u q = 0 (q> 1) in Ω×(0,...
AbstractIn this paper, we investigate the blowup properties of the positive solutions to the followi...
. We discuss on recent results concerning the asymptotics near blow-up of nonnegative solutions of u...
Existence of a unique classical nonnegative solution is established and suffi-cient conditions for t...
We obtain some conditions under which the positive solution for semidiscretizations of the semilinea...
On étudie l'existence de blow-up et l'ensemble des points de blow-up pour une équation de type chale...
AbstractWe study classical nonnegative solutions u(x,t) of the semilinear parabolic inequalities0⩽ut...
AbstractThe initial and boundary value problem for the degenerate parabolic equation vt = Δ(ϑ(v)) + ...
By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the...
In this paper, we are dealing with the following degenerate parabolic problem: (Pt) { ¶tu - |x|2Du =...
AbstractAn elementary proof for the existence of solutions to semilinear degenerate parabolic equati...
Abstract. We discuss on recent results concerning the asymptotics near blow-up of nonnega-tive solut...
ABSTRACT. Let a and T be positive constants, D = (0; a), D = [0; a], = D (0; T]; and Lu = xqut uxx...
We consider nonnegative solutions of degenerate parabolic equations with a singular absorption term ...
AbstractLet Ω be a bounded smooth domain in RN. We consider the problem ut=Δu+V(x)up in Ω×[0,T), wit...
Abstract We study the existence and uniqueness of solutions of ∂tu − ∆u + u q = 0 (q> 1) in Ω×(0,...
AbstractIn this paper, we investigate the blowup properties of the positive solutions to the followi...
. We discuss on recent results concerning the asymptotics near blow-up of nonnegative solutions of u...
Existence of a unique classical nonnegative solution is established and suffi-cient conditions for t...
We obtain some conditions under which the positive solution for semidiscretizations of the semilinea...
On étudie l'existence de blow-up et l'ensemble des points de blow-up pour une équation de type chale...
AbstractWe study classical nonnegative solutions u(x,t) of the semilinear parabolic inequalities0⩽ut...
AbstractThe initial and boundary value problem for the degenerate parabolic equation vt = Δ(ϑ(v)) + ...
By Oleinik's line method, we study the existence and the uniqueness of the classical solution of the...
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