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

DOI10.1016/j.jmaa.2019.06.002zbMath1429.35071arXiv1809.10444OpenAlexW2963231056WikidataQ127744726 ScholiaQ127744726MaRDI QIDQ2320051

Eduard Albert Nigsch, Norbert Ortner and Peter Wagner, Michael Kunzinger

Publication date: 21 August 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.10444

zbMATH Keywords

Laplace transformationiterated wave operatorDirichlet problem in the half spaceiterated Klein-Gordon operatoriterated metaharmonic operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Heat equation (35K05) Laplace transform (44A10)

Related Items (2)

Metrical almost periodicity, metrical approximations of functions and applications ⋮ On the space of Laplace transformable distributions

Cites Work

• Théorie des distributions à valeurs vectorielles
• Théorie des distributions à valeurs vectorielles. II
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Convolution of vector-valued distributions: A survey and comparison
• On the General Theory of Mixed Problems
• Half Space and Quarter Space Dirichlet Problems for the Partial Differential Equation
• Application of Analytic Functions to Two-Dimensional Biharmonic Analysis
• Produits tensoriels topologiques et espaces nucléaires
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