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On a method for constructing Bergman kernels

Part of: Representations of solutions Elliptic equations and systems

Published online by Cambridge University Press:  09 April 2009

A. Azzam  and
E. Kreyszig
A. Azzam
Affiliation:
Department of Mathematics University of WindsorWindsor, Ontario N9B 3P4, Canada
E. Kreyszig
Affiliation:
Department of Mathematics University of WindsorWindsor, Ontario N9B 3P4, Canada
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Abstract

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We establish a method of constructing kernels of Bergman operators for second-order linear partial differential equations in two independent variables, and use the method for obtaining a new class of Bergman kernels, which we call modified class E kernels since they include certain class E kernals. They also include other kernels which are suitable for global representations of solutions (whereas Bergman operators generally yield only local representations).

MSC classification

Secondary: 35J15: Second-order elliptic equations 35C15: Integral representations of solutions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 29 , Issue 4 , June 1980 , pp. 454 - 461
Copyright
Copyright © Australian Mathematical Society 1980

References

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