Add to ORKGAbstract. In this paper, we study the asymptotic behavior of cer-tain solutions of the nonlinear heat equation ut − ∆u + |u|αu = 0 in (0,∞) × RN, where α> 0. We focus especially on solutions that may change sign and that do not necessarily have a radial behavior as |x | → ∞. 1
We study the existence of sign-changing solutions to the nonlinear heat equation ∂tu = Δu + |u|αu on...
We study the existence of sign-changing solutions to the nonlinear heat equation ∂tu = Δu + |u|αu on...
We are interested in positive radially symmetric solutions of the semilinear equation 2w& y} {w ...
In this paper, we study the asymptotic behavior of certain solutions of the nonlinear heat equation ...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
International audienceWe consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
ABSTRACT. We prove that if the initial data Uo of the equation: u t- Au + uP = 0 (where 1 < p <...
AbstractWe are interested in positive radially symmetric solutions of the semilinear equationΔw−y·∇w...
AbstractWe study asymptotic behavior in time of small solutions to nonlinear heat equations in subcr...
Abstract. In this note we investigate some properties of solutions of ordinary differential equation...
The Cauchy problem of a heat equation with a source term ψt = Δ(|ψ|m-1 ψ) + |ψ|γ-1 ψ in (0,∞) × Rn i...
We study the self-similar solutions of the equation ut div(jrujp2ru) = 0; in RN; when p> 2: We ...
AbstractWe are interested in positive radially symmetric solutions of the semilinear equationΔw−y·∇w...
22 pages, 16 ref.International audienceWe consider the problem of existence of a solution u to ∂ t u...
We study the existence of sign-changing solutions to the nonlinear heat equation ∂tu = Δu + |u|αu on...
We study the existence of sign-changing solutions to the nonlinear heat equation ∂tu = Δu + |u|αu on...
We are interested in positive radially symmetric solutions of the semilinear equation 2w& y} {w ...
In this paper, we study the asymptotic behavior of certain solutions of the nonlinear heat equation ...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
International audienceWe consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
ABSTRACT. We prove that if the initial data Uo of the equation: u t- Au + uP = 0 (where 1 < p <...
AbstractWe are interested in positive radially symmetric solutions of the semilinear equationΔw−y·∇w...
AbstractWe study asymptotic behavior in time of small solutions to nonlinear heat equations in subcr...
Abstract. In this note we investigate some properties of solutions of ordinary differential equation...
The Cauchy problem of a heat equation with a source term ψt = Δ(|ψ|m-1 ψ) + |ψ|γ-1 ψ in (0,∞) × Rn i...
We study the self-similar solutions of the equation ut div(jrujp2ru) = 0; in RN; when p> 2: We ...
AbstractWe are interested in positive radially symmetric solutions of the semilinear equationΔw−y·∇w...
22 pages, 16 ref.International audienceWe consider the problem of existence of a solution u to ∂ t u...
We study the existence of sign-changing solutions to the nonlinear heat equation ∂tu = Δu + |u|αu on...
We study the existence of sign-changing solutions to the nonlinear heat equation ∂tu = Δu + |u|αu on...
We are interested in positive radially symmetric solutions of the semilinear equation 2w& y} {w ...