The linear theory of Colombeau generalized functions
著者
書誌事項
The linear theory of Colombeau generalized functions
(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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