The Schwarz Function and Its Generalization to Higher Dimensions (The University of Arkansas Lecture Notes in the Mathematical Sciences)

by Harold S. Shapiro

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The Schwarz function originates in classical complex analysis and potential theory. In this text, the author presents the advantages of the function, favouring a mode of treatment which unites the subject with modern theory of distributions and partial differential equations - thus bridging the gap between two-dimensional analysts. The author 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 partial differential equations.
  • ISBN10 047157127X
  • ISBN13 9780471571278
  • Publish Date 14 April 1992
  • Publish Status Active
  • Publish Country US
  • Imprint John Wiley & Sons Inc
  • Format Hardcover
  • Pages 128
  • Language English