117 citations · 882 across the 65 of their papers we have counts for
3 papers · 1 filter
Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems
Michael Kunzinger, Eduard A. Nigsch, Norbert Ortner
We present two new proofs of the exchange theorem for the Laplace transformation of vector-valued distributions. We then derive an explicit solution to the Dirichlet problem of the…
A vanishing dynamic capillarity limit equation with discontinuous flux
Melanie Graf, Michael Kunzinger, Darko Mitrovic +1
We prove existence and uniqueness of a solution to the Cauchy problem corresponding to the equation \begin{equation*} \begin{cases} \partial_t u_{\varepsilon,δ} +\mathrm{div} {\mat…
Inextendibility of spacetimes and Lorentzian length spaces
James D. E. Grant, Michael Kunzinger, Clemens Sämann
We study the low-regularity (in-)extendibility of spacetimes within the synthetic-geometric framework of Lorentzian length spaces developed in [KS:17]. To this end, we introduce ap…