Abstract. In this paper we study numerical blow-up sets for semidicrete approximations of the heat equation with nonlinear boundary conditions. We prove that the blow-up set either concentrates near the boundary or it is the whole domain. Introduction. In this paper we address the localization problem of blow-up points for semidis-cretizations in space of positive solutions for the following parabolic problem (1
AbstractWe consider the blow-up problem for a semilinear heat equation,{∂tu=ϵΔu+upin Ω×(0,T),u(x,t)=...
AbstractWe consider the blow-up problem of a semilinear heat equation,ut=DΔu+upinΩ×(0,TD),∂u∂ν(x,t)=...
Abstract. We study the asymptotic behavior of a semidiscrete numerical approximation for a pair of h...
Abstract. In this paper we study numerical blow-up sets for semidicrete approximations of the heat e...
Abstract. In this paper we study the asymptotic behaviour of a semidiscrete numerical approximation ...
AbstractIn this paper, we study the asymptotic behaviour of a semidiscrete numerical approximation f...
We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary ...
AbstractIn this paper we study the large time behavior of positive solutions of the heat equation un...
Abstract. In this paper, we study the blow-up problem for positive solutions of a semidiscretization...
Abstract. We study the initial boundary value problem and Cauchy problem for the semilinear heat equ...
AbstractIn this paper we present existence of blow-up solutions for elliptic equations with semiline...
This paper concerns the study of the numerical approximation for the following parabolic equations w...
Abstract. We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear...
AbstractIn this paper, we consider the initial-boundary value problem of a semilinear parabolic equa...
AbstractWe study the blow-up of solutions of nonlinear heat equations in dimension 1. We show that f...
AbstractWe consider the blow-up problem for a semilinear heat equation,{∂tu=ϵΔu+upin Ω×(0,T),u(x,t)=...
AbstractWe consider the blow-up problem of a semilinear heat equation,ut=DΔu+upinΩ×(0,TD),∂u∂ν(x,t)=...
Abstract. We study the asymptotic behavior of a semidiscrete numerical approximation for a pair of h...
Abstract. In this paper we study numerical blow-up sets for semidicrete approximations of the heat e...
Abstract. In this paper we study the asymptotic behaviour of a semidiscrete numerical approximation ...
AbstractIn this paper, we study the asymptotic behaviour of a semidiscrete numerical approximation f...
We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear boundary ...
AbstractIn this paper we study the large time behavior of positive solutions of the heat equation un...
Abstract. In this paper, we study the blow-up problem for positive solutions of a semidiscretization...
Abstract. We study the initial boundary value problem and Cauchy problem for the semilinear heat equ...
AbstractIn this paper we present existence of blow-up solutions for elliptic equations with semiline...
This paper concerns the study of the numerical approximation for the following parabolic equations w...
Abstract. We study the blow-up behaviors of solutions of a semilinear heat equation with a nonlinear...
AbstractIn this paper, we consider the initial-boundary value problem of a semilinear parabolic equa...
AbstractWe study the blow-up of solutions of nonlinear heat equations in dimension 1. We show that f...
AbstractWe consider the blow-up problem for a semilinear heat equation,{∂tu=ϵΔu+upin Ω×(0,T),u(x,t)=...
AbstractWe consider the blow-up problem of a semilinear heat equation,ut=DΔu+upinΩ×(0,TD),∂u∂ν(x,t)=...
Abstract. We study the asymptotic behavior of a semidiscrete numerical approximation for a pair of h...