Janna Lierl

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

2 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2018

Faber-Krahn type inequalities and uniqueness of positive solutions on metric measure spaces

Anup Biswas, Janna Lierl

We consider a general class of metric measure spaces equipped with a regular Dirichlet form and then provide a lower bound on the hitting time probabilities of the associated Hunt…

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…