An Introduction to Partial Differential Equations

• Main Authors: Renardy, Michael (Author), Rogers, Robert C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2004.
• Edition: Second Edition.
• Series: Texts in Applied Mathematics, 13
• Subjects: Mathematics.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; Physics.; Partial Differential Equations.; Applications of Mathematics.; Mathematical Methods in Physics.; Appl.Mathematics/Computational Methods of Engineering.

Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fiel...

Table of Contents:

• Characteristics
• Conservation Laws and Shocks
• Maximum Principles
• Distributions
• Function Spaces
• Sobolev Spaces
• Operator Theory
• Linear Elliptic Equations
• Nonlinear Elliptic Equations
• Energy Methods for Evolution Problems
• Semigroup Methods.