Dorina Mitrea

Distributions, Partial Differential Equations, and Harmonic Analysis

• Broschiertes Buch

Produktbeschreibung

_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._

Produktdetails

• Universitext
• Verlag: Springer / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4614-8207-9
• Seitenzahl: 460
• Erscheinungstermin: Oktober 2013
• Englisch
• Abmessung: 237mm x 157mm x 27mm
• Gewicht: 728g
• ISBN-13: 9781461482079
• ISBN-10: 1461482070
• Artikelnr.: 38464729

Autorenporträt

Dorina Mitrea is a Professor at University of Missouri in the Mathematics Department.

Inhaltsangabe

_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. _