AbstractThe degenerate parabolic equation ut=Δ(|u|m−1u),m>0 is considered in a cylinder Ω×(0,T) under homogeneous Dirichlet boundary values. The regularity of weak solutions for the fast diffusion equation (m<1) and the porous medium equation (m>1) are investigated. Regularity of u and |u|m−1u in weighted Sobolev spaces and in fractional order Nikolskii spaces are proved
We consider a nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driv...
Gess B. Optimal regularity for the porous medium equation. Journal of the European Mathematical Soci...
Abstract. This paper studies the global regularity theory for degenerate non-linear parabolic partia...
AbstractThe degenerate parabolic equation ut=Δ(|u|m−1u),m>0 is considered in a cylinder Ω×(0,T) unde...
Bonn, Januar 2005 Regularity in Sobolev spaces for the fast diffusion and the porous medium equatio
We study the boundary regularity of solutions to the porous medium equation in the degenerate range ...
We prove that weak solutions to the obstacle problem for the porous medium equation are locally Höld...
We study regularity properties of weak solutions of the degenerate parabolic equation ut + f(u)x = K...
The theory of degenerate/singular nonlinear partial differential equations has gained a great import...
We study a Cauchy-Dirichlet problem with homogeneous boundary conditions on the parabolic boundar...
Abstract. We study the Dirichlet problem for the parabolic equation ut = ∆um, m> 0 in a bounded, ...
We study a porous medium equation with nonlocal diffusion effects given by an inverse fractional Lap...
In this thesis, we study two degenerate, non-local parabolic equations, a fractional thin film equat...
AbstractIn this paper, we show the short time existence of the smooth solution for the porous medium...
Gess B, Sauer J, Tadmor E. Optimal regularity in time and space for the porous medium equation. Anal...
We consider a nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driv...
Gess B. Optimal regularity for the porous medium equation. Journal of the European Mathematical Soci...
Abstract. This paper studies the global regularity theory for degenerate non-linear parabolic partia...
AbstractThe degenerate parabolic equation ut=Δ(|u|m−1u),m>0 is considered in a cylinder Ω×(0,T) unde...
Bonn, Januar 2005 Regularity in Sobolev spaces for the fast diffusion and the porous medium equatio
We study the boundary regularity of solutions to the porous medium equation in the degenerate range ...
We prove that weak solutions to the obstacle problem for the porous medium equation are locally Höld...
We study regularity properties of weak solutions of the degenerate parabolic equation ut + f(u)x = K...
The theory of degenerate/singular nonlinear partial differential equations has gained a great import...
We study a Cauchy-Dirichlet problem with homogeneous boundary conditions on the parabolic boundar...
Abstract. We study the Dirichlet problem for the parabolic equation ut = ∆um, m> 0 in a bounded, ...
We study a porous medium equation with nonlocal diffusion effects given by an inverse fractional Lap...
In this thesis, we study two degenerate, non-local parabolic equations, a fractional thin film equat...
AbstractIn this paper, we show the short time existence of the smooth solution for the porous medium...
Gess B, Sauer J, Tadmor E. Optimal regularity in time and space for the porous medium equation. Anal...
We consider a nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driv...
Gess B. Optimal regularity for the porous medium equation. Journal of the European Mathematical Soci...
Abstract. This paper studies the global regularity theory for degenerate non-linear parabolic partia...
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