Distributions, Partial Differential Equations, and Harmonic Analysis

• Κύριος συγγραφέας: Mitrea, Dorina (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 2nd ed. 2018.
• Σειρά: Universitext,
• Θέματα: Partial differential equations.; Functional analysis.; Fourier analysis.; Potential theory (Mathematics).; Partial Differential Equations.; Functional Analysis.; Fourier Analysis.; Potential Theory.

The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning eithe...

Πίνακας περιεχομένων:

• 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. .