AbstractWe prove that, for any c ∈R, there exists a solution of the singular Cauchy problem for the semilinear heat equation ut−uϰϰ+u3=0, u(ϰ,0)=p.v.cϰ the initial value being taken in the sense of distributions. The solution is obtained as a self-similar solution
The Cauchy problem of a heat equation with a source term psi = Delta (vertical bar psi vertical bar(...
A quasilinear equation Δu<sup>α</sup>-x·▽u/2+f(u)=0 is studied, where f(u)=-μu+u<sup>β</sup>, μ >...
In this paper we study the self-similar solutions to the singular and degen-erate diffusion equation...
AbstractWe prove that, for any c ∈R, there exists a solution of the singular Cauchy problem for the ...
AbstractWe are interested in positive radially symmetric solutions of the semilinear equationΔw−y·∇w...
AbstractWe consider, for p∈(1,2) and q>1, self-similar singular solutions of the equation vt=div(|∇v...
AbstractWe consider a Cauchy problem for a semilinear heat equation{ut=Δu+upin RN×(0,T),u(x,0)=u0(x)...
We deal with the self-similar singular solution of doubly singular parabolic equation with a gradien...
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 deal with the self-similar singular solution of doubly singular parabolic equation with a gradie...
We consider, for p is an element of (1, 2) and q>1, self-similar singular solutions of the equation ...
Abstract. This article concerns the nonnegative solutions to the Cauchy problem ut −∆u+ b(x, t)|u|p−...
We are interested in positive radially symmetric solutions of the semilinear equation 2w& y} {w ...
AbstractIn this paper we prove the existence of a very singular solution of the Cauchy problem ut = ...
AbstractIn this paper we study the numerical approximation for the heat equation with a singular abs...
The Cauchy problem of a heat equation with a source term psi = Delta (vertical bar psi vertical bar(...
A quasilinear equation Δu<sup>α</sup>-x·▽u/2+f(u)=0 is studied, where f(u)=-μu+u<sup>β</sup>, μ >...
In this paper we study the self-similar solutions to the singular and degen-erate diffusion equation...
AbstractWe prove that, for any c ∈R, there exists a solution of the singular Cauchy problem for the ...
AbstractWe are interested in positive radially symmetric solutions of the semilinear equationΔw−y·∇w...
AbstractWe consider, for p∈(1,2) and q>1, self-similar singular solutions of the equation vt=div(|∇v...
AbstractWe consider a Cauchy problem for a semilinear heat equation{ut=Δu+upin RN×(0,T),u(x,0)=u0(x)...
We deal with the self-similar singular solution of doubly singular parabolic equation with a gradien...
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 deal with the self-similar singular solution of doubly singular parabolic equation with a gradie...
We consider, for p is an element of (1, 2) and q>1, self-similar singular solutions of the equation ...
Abstract. This article concerns the nonnegative solutions to the Cauchy problem ut −∆u+ b(x, t)|u|p−...
We are interested in positive radially symmetric solutions of the semilinear equation 2w& y} {w ...
AbstractIn this paper we prove the existence of a very singular solution of the Cauchy problem ut = ...
AbstractIn this paper we study the numerical approximation for the heat equation with a singular abs...
The Cauchy problem of a heat equation with a source term psi = Delta (vertical bar psi vertical bar(...
A quasilinear equation Δu<sup>α</sup>-x·▽u/2+f(u)=0 is studied, where f(u)=-μu+u<sup>β</sup>, μ >...
In this paper we study the self-similar solutions to the singular and degen-erate diffusion equation...
DOI
Add to ORKG