Ebook: The Schwarz Function and Its Generalization to Higher Dimensions
Author: Harold S. Shapiro
- Series: University of Arkansas Lecture Notes in the Mathematical Sciences Vol. 9
- Year: 1992
- Publisher: John Wiley & Sons
- City: New York
- Edition: 1
- Language: English
- djvu
The Schwarz function originates in classical complex analysis and potential theory. Here the author presents the advantages favoring a mode of treatment which unites the subject with modern theory of distributions and partial differential equations thus bridging the gap between two-dimensional geometric and multi-dimensional analysts. Examines the Schwarz function and its relationship to recent investigations regarding inverse problems of Newtonian gravitation, free boundaries, Hele-Shaw flows and the propagation of singularities for holomorphic p.d.e
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