The linear theory of Colombeau generalized functions

書誌事項

The linear theory of Colombeau generalized functions

M. Nedeljkov, S. Pilipović, D. Scarpalézos

(Pitman research notes in mathematics series, 385)

Addison Wesley Longman, 1998

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注記

Bibliography: p. 150-156

内容説明・目次

内容説明

Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.

目次

Introduction Basic Notions Generalized Solutions to Linear Partial Differential Equations Generalized Pseudodifferential Operators Bibliography

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