Methods of complex analysis in partial differential equations with applications

書誌事項

Methods of complex analysis in partial differential equations with applications

Manfred Kracht, Erwin Kreyszig

(Canadian Mathematical Society series of monographs and advanced texts)

Wiley, c1988

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注記

"A Wiley-Interscience publication."

Bibliography: p. 349-378

Includes indexes

内容説明・目次

内容説明

This book is devoted to the development of complex function theoretic methods in partial differential equations and to the study of analytic behaviour of solutions. It presents basic facts of the subject and includes recent results, emphasizing the method of integral operators and the method of differential operators. The first chapter gives a motivation for and the underlying ideas of, the later chapters. Chapters 2 to 7 give a detailed exposition of the basic concepts and fundamental theorems, as well as their most recent development. Chapters 8 to 13 are concerned with the application of the theory to three important classes of differential equations of mathematical physics.

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