Series on Concrete and Applicable Mathematics: Distribution Theory and Applications (PDF)
(Sprache: Englisch)
This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test...
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This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs.The very basic properties of distributions are examined in detail. Several formal methods have been first used, without rigorous justifications (Dirac function, principal value of Cauchy, finite parts of Hadamard). They find their natural frame in distribution theory. It is the same for Laplace transformation which is a fundamental tool in symbolic calculations.A detailed treatment is given to the convolution product for it is a central theme in distribution theory. Another very important instrument, covered in several chapters, is the Fourier transformation which is among the...
Bibliographische Angaben
- Autoren: Abdellah El Kinani , Mohamed Oudadess
- 2010, Englisch
- ISBN-10: 9814304921
- ISBN-13: 9789814304924
- Erscheinungsdatum: 06.04.2010
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- Größe: 2.83 MB
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Englisch
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