Add to ORKGAbstract. We construct solutions to initial, boundary and initial-boundary value problems for quasilinear parabolic equations with an infinite dimensional Lévy Lapla-cian ∆L, ∂U(t, x) ∂t = ∆LU(t, x) + f0(U(t, x)), in fundamental domains of a Hilbert space. The solution is defined in the functional class where a solution of the corresponding problem for the heat equation ∂U(t,x) ∂
Abstract We study the existence and uniqueness of solutions of ∂tu − ∆u + u q = 0 (q> 1) in Ω×(0,...
We deal with the Cauchy problem associated to a class of quasilinear singular parabolic equations wi...
This paper belongs to the general theory of well-posed initial-boundary value problems for parabolic...
AbstractThis paper treats the quasilinear, parabolic boundary value problem uxx − ut = −ƒ(x, t, u)u(...
The authors study a class of initial boundary value problems associated with parabolic quasilinear e...
In this paper we consider second order parabolic partial differential equations on the infinite stri...
Abstract: We consider the first boundary value problem for quasilinear parabolic differential–differ...
AbstractIn this paper, we derive precise estimates for ∇u(t) including smoothing effects near t=0 an...
AbstractThe type of problem under consideration isut=∇⋅(a(u)b(x)∇u)+g(x,t)f(u),inD×(0,T),∂u∂n+σ(x,t)...
In this paper, we study the existence of distributional solutions solving (1.3) on a bounded domain ...
We consider a class of quasilinear parabolic equations whose model is the heat equation correspondin...
We study the following singular perturbation problem for a quasilinear uniformly parabolic operator ...
ACLInternational audienceWe discuss the existence and uniqueness of the weak solution of the followi...
We investigate strong and weak versions of maximum and comparison principles for a class of quasilin...
We prove an existence result for a class of parabolic problems whose principal part is the p-Laplace...
Abstract We study the existence and uniqueness of solutions of ∂tu − ∆u + u q = 0 (q> 1) in Ω×(0,...
We deal with the Cauchy problem associated to a class of quasilinear singular parabolic equations wi...
This paper belongs to the general theory of well-posed initial-boundary value problems for parabolic...
AbstractThis paper treats the quasilinear, parabolic boundary value problem uxx − ut = −ƒ(x, t, u)u(...
The authors study a class of initial boundary value problems associated with parabolic quasilinear e...
In this paper we consider second order parabolic partial differential equations on the infinite stri...
Abstract: We consider the first boundary value problem for quasilinear parabolic differential–differ...
AbstractIn this paper, we derive precise estimates for ∇u(t) including smoothing effects near t=0 an...
AbstractThe type of problem under consideration isut=∇⋅(a(u)b(x)∇u)+g(x,t)f(u),inD×(0,T),∂u∂n+σ(x,t)...
In this paper, we study the existence of distributional solutions solving (1.3) on a bounded domain ...
We consider a class of quasilinear parabolic equations whose model is the heat equation correspondin...
We study the following singular perturbation problem for a quasilinear uniformly parabolic operator ...
ACLInternational audienceWe discuss the existence and uniqueness of the weak solution of the followi...
We investigate strong and weak versions of maximum and comparison principles for a class of quasilin...
We prove an existence result for a class of parabolic problems whose principal part is the p-Laplace...
Abstract We study the existence and uniqueness of solutions of ∂tu − ∆u + u q = 0 (q> 1) in Ω×(0,...
We deal with the Cauchy problem associated to a class of quasilinear singular parabolic equations wi...
This paper belongs to the general theory of well-posed initial-boundary value problems for parabolic...