Principles of Partial Differential Equations

• Main Authors: Komech, Alexander (Author), Komech, Andrew (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Problem Books in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Analysis.; Partial Differential Equations.

This concise book covers the classical tools of PDE theory used in today's science and engineering: characteristics, the wave propagation, the Fourier method, distributions, Sobolev spaces, fundamental solutions, and Green's functions. The approach is problem-oriented, giving the reader an...

Table of Contents:

• Hyperbolic equations. Method of characteristics
• The Fourier method
• Distributions and Green’s functions
• Fundamental solutions and Green’s functions in higher dimensions
• Erratum.