Distributions, Partial Differential Equations, and Harmonic Analysis
Seiten
2013
|
2013 ed.
Springer-Verlag New York Inc.
978-1-4614-8207-9 (ISBN)
Springer-Verlag New York Inc.
978-1-4614-8207-9 (ISBN)
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This book offers a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. Each chapter contains exercises and many have solutions at the end of the book.
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam/'e and Schrodinger operators.
The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam/'e and Schrodinger operators.
Dorina Mitrea is a Professor at University of Missouri in the Mathematics Department.
Introduction.- Summary of Topological and Functional Analysis Results.- Weak Derivatives.- The Space D0() of Distributions.- The Fourier Transform.- The Space of Tempered Distributions.- Fundamental Solution.- The Laplace Operator.- The Heat Operator.- The Wave Operator.- The Lame Operator.- Fundamental Solutions for Other Operators.- Hypoelliptic operators.- Sobolev spaces.- Appendix.- References.
| Reihe/Serie | Universitext |
|---|---|
| Zusatzinfo | XXI, 460 p. |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 7256 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | distributions • fourier analysis • fundamental solutions • Partial Diffential Equations texbook • Potential Theory |
| ISBN-10 | 1-4614-8207-0 / 1461482070 |
| ISBN-13 | 978-1-4614-8207-9 / 9781461482079 |
| Zustand | Neuware |
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