S. Schwarzacher

activity

20122026

most citedSolenoidal Lipschitz truncation for parabolic PDE's

61 citations · 341 across the 41 of their papers we have counts for

collaborators

Showing 2013Show all

4 papers · 1 filter

math.AP2013★ 1 cited

Global gradient estimates for the $p (\cdot)$ -Laplacian

Lars Diening, Sebastian Schwarzacher

We consider Calderón-Zygmund type estimates for the non-homogeneous $p (\cdot)$ -Laplacian system $- div (∣ D u ∣^{p (\cdot) - 2} D u) = - div (∣ G ∣^{p (\cdot) - 2} G),$ where $p$ i…

math.NA2013★ 3 cited

Finite element approximation of the $p (\cdot)$ -Laplacian

D. Breit, L. Diening, S. Schwarzacher

We study a~priori estimates for the Dirichlet problem of the $p (\cdot)$ -Laplacian, \[-\mathrm{div}(|\nabla v|^{p(\cdot)-2} \nabla v) = f. \] We show that the gradients of the finit…

math.AP2013

Hölder-Zygmund Estimates for Degenerate Parabolic Systems

Sebastian Schwarzacher

We consider energy solutions of the inhomogeneous parabolic $p$ -Laplacien system $\partial_{t} u - div (∣ D u ∣^{p - 2} D u) = - div g$ . We show in the case $p \geq 2$ that if the…

math.NA2013★ 14 cited

Convex Hull Property and Maximum Principle for Finite Element Minimisers of General Convex Functionals

Lars Diening, Christian Kreuzer, Sebastian Schwarzacher

The convex hull property is the natural generalization of maximum principles from scalar to vector valued functions. Maximum principles for finite element approximations are often…

Global gradient estimates for the p(⋅)-Laplacian

Finite element approximation of the p(⋅)-Laplacian

Hölder-Zygmund Estimates for Degenerate Parabolic Systems

Convex Hull Property and Maximum Principle for Finite Element Minimisers of General Convex Functionals

Global gradient estimates for the $p (\cdot)$ -Laplacian

Finite element approximation of the $p (\cdot)$ -Laplacian