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arXiv · 1809.10444

Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems

Michael Kunzinger·Eduard A. Nigsch·Norbert Ortner
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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.

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Michael Kunzinger, Eduard A. Nigsch, Norbert Ortner. 2018-09-27. Laplace transformation of vector-valued distributions and applications to Cauchy-Dirichlet problems. https://arxiv.org/abs/1809.10444

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