Distributions, Partial Differential Equations, and Harmonic Analysis - Dorina Mitrea

Distributions, Partial Differential Equations, and Harmonic Analysis

(Autor)

Buch | Softcover
460 Seiten
2013 | 2013 ed.
Springer-Verlag New York Inc.
978-1-4614-8207-9 (ISBN)
74,89 inkl. MwSt
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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.​

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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