Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems
Analysis of PDEs
2021-06-15 v2
Abstract
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 polyharmonic operator in a half-space. Finally, we obtain explicit solutions to Cauchy-Dirichlet problems of iterated wave- and Klein-Gordon-operators in half-spaces.
Keywords
Cite
@article{arxiv.1809.10444,
title = {Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems},
author = {Michael Kunzinger and Eduard A. Nigsch and Norbert Ortner},
journal= {arXiv preprint arXiv:1809.10444},
year = {2021}
}
Comments
16 pages v2: fixed an error in Lemma 5 and some typos