Principles of Partial Differential Equations

• Main Authors: Komech, Alexander. (Author), Komech, Andrew. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Problem Books in Mathematics,
• Subjects: Mathematics.; Differential equations, partial.; Partial Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-1096-7

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:

• Preface
• Hyperbolic Equations. Method of Characteristics
• The Fourier Method
• Distributions and Greens Functions
• Fundamental Solutions and Greens Functions in Higher Dimensions
• Classification of the Second-Order Equations
• References
• Index.