## Abstract This paper is a continuation of [6]. Here we construct a CAUCHY integral formula and a POMPEJUβrepresentation for elliptic systems of partial differential equations of first order in __R^n^__, which may be described with the help of a CLIFFORDβalgebra. Moreover we study properties of th
Existence and representation of solutions of a class of elliptic systems of partial differential equations of first order in the space
β Scribed by Bernd Goldschmidt
- Publisher
- John Wiley and Sons
- Year
- 1982
- Tongue
- English
- Weight
- 293 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra π. We construct an integral representation and discuss the properties of the kernels.
π SIMILAR VOLUMES
The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.
## Abstract In this paper, we establish several criteria for the existence, multiplicity, nonexistence of positive periodic solutions of the following system by combining some new properties of Green's function together with Krasnosel'skΔ fixed point theorem on the compression and expression of co
Assuming the smoothness and a generalized Lipschitz condition we establish the existence and uniqueness of the periodic solutions of higher order nonlinear hyperbolic partial differential equations. 1994 Acedemic Press, Inc.