Janna Lierl

activity

20112018

most citedScale-invariant Boundary Harnack Principle in Inner Uniform Domains

4 citations · 7 across the 5 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.AP2017★ 2 cited

A Local Faber-Krahn inequality and Applications to Schrödinger's Equation

Janna Lierl, Stefan Steinerberger

We prove a local Faber-Krahn inequality for solutions $u$ to the Dirichlet problem for $Δ + V$ on an arbitrary domain $Ω$ in $R^{n}$ . Suppose a solution $u$ assumes a global…

math.AP2017★ 1 cited

Local behavior of solutions of quasilinear parabolic equations on metric spaces

Janna Lierl

We introduce a notion of quasilinear parabolic equations over metric measure spaces. Under sharp structural conditions, we prove that local weak solutions are locally bounded and s…

math.FA2017

Neumann heat flow and gradient flow for the entropy on non-convex domains

Janna Lierl, Karl-Theodor Sturm

For large classes of non-convex subsets $Y$ in $R^{n}$ or in Riemannian manifolds $(M, g)$ or in RCD-spaces $(X, d, m)$ we prove that the gradient flow for the Boltzmann entro…