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- Title
Distributional analysis of boundary value problems in half-spaces -- exemplified by Melan's problem of elastostatics.
- Authors
G. Kirchner
- Abstract
Using a result on the <tex>${\cal C}^\infty$</tex>-dependence (with respect to a distinguished variable) of solutions to partially hypoelliptic operators, we present a definition for Green's function which allows to prove a representation theorem. Afterwards we discuss the construction of a Green's matrix for Melan's problem of elastostatics using the reflection principle and single layer potentials. This involves the solution of convolution equations as well as the explicit computation of convolutions. In this special case also the question of uniqueness is investigated.
- Subjects
GREEN'S functions; BOUNDARY value problems; HYPOELLIPTIC operators; NUMERICAL analysis
- Publication
ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2003, Vol 83, Issue 9, p616
- ISSN
0044-2267
- Publication type
Article
- DOI
10.1002/zamm.200310025