Bonn, Januar 2005 Regularity in Sobolev spaces for the fast diffusion and the porous medium equatio
We prove the existence of a non-negative solution for a linear degenerate diffusion transport equat...
AbstractWe present a generalization of Krylov–Rozovskii's result on the existence and uniqueness of ...
In this paper, we establish several local and global gradient estimates for the positive solution of...
AbstractThe degenerate parabolic equation ut=Δ(|u|m−1u),m>0 is considered in a cylinder Ω×(0,T) unde...
Gess B. Optimal regularity for the porous medium equation. Journal of the European Mathematical Soci...
Gess B, Sauer J, Tadmor E. Optimal regularity in time and space for the porous medium equation. Anal...
In this paper we prove a new family of inequalities which is intermediate between the classical Sobo...
In this paper we prove a new family of inequalities which is in-termediate between the classical Sob...
Bruno S, Gess B, Weber H. Optimal regularity in time and space for stochastic porous medium equation...
Let M be a compact Riemannian manifold without boundary. Consider the porous media equation u_t =\De...
We present a generalization of Krylov-Rozovskii’s result on the existence and unique-ness of solutio...
In the euclidean space, Sobolev and Hardy-Littlewood-Sobolev inequalities can be related by duality....
AbstractLet M be a compact Riemannian manifold without boundary. Consider the porous media equation ...
Let u = u(x, v) satisfy the Transport Equation View the MathML source, x∈View the MathML sourceN, v∈...
+ ∇ · f(S)u− ∇ · k(S)∇S = Q(S) with appropriate boundary and initial conditions, one often regu-la...
We prove the existence of a non-negative solution for a linear degenerate diffusion transport equat...
AbstractWe present a generalization of Krylov–Rozovskii's result on the existence and uniqueness of ...
In this paper, we establish several local and global gradient estimates for the positive solution of...
AbstractThe degenerate parabolic equation ut=Δ(|u|m−1u),m>0 is considered in a cylinder Ω×(0,T) unde...
Gess B. Optimal regularity for the porous medium equation. Journal of the European Mathematical Soci...
Gess B, Sauer J, Tadmor E. Optimal regularity in time and space for the porous medium equation. Anal...
In this paper we prove a new family of inequalities which is intermediate between the classical Sobo...
In this paper we prove a new family of inequalities which is in-termediate between the classical Sob...
Bruno S, Gess B, Weber H. Optimal regularity in time and space for stochastic porous medium equation...
Let M be a compact Riemannian manifold without boundary. Consider the porous media equation u_t =\De...
We present a generalization of Krylov-Rozovskii’s result on the existence and unique-ness of solutio...
In the euclidean space, Sobolev and Hardy-Littlewood-Sobolev inequalities can be related by duality....
AbstractLet M be a compact Riemannian manifold without boundary. Consider the porous media equation ...
Let u = u(x, v) satisfy the Transport Equation View the MathML source, x∈View the MathML sourceN, v∈...
+ ∇ · f(S)u− ∇ · k(S)∇S = Q(S) with appropriate boundary and initial conditions, one often regu-la...
We prove the existence of a non-negative solution for a linear degenerate diffusion transport equat...
AbstractWe present a generalization of Krylov–Rozovskii's result on the existence and uniqueness of ...
In this paper, we establish several local and global gradient estimates for the positive solution of...