PARTIAL DIFFERENTIAL EQUATIONS Methods and Applications

• Main Author: McOwen, Robert C. (Author)
• Format: Book
• Language: English
• Published: New Jersey Prentice Hall 2003
• Edition: 2nd Edition
• Subjects: Differential equations, Partial
• Online Access: Click Here to View Status and Holdings.

 Designed to prepare readers to better understand the current literature in research journals, this book explains the basics of classical PDEs and a wide variety of more modern methodsespecially the use of functional analysiswhich has characterized much of the recent development of PDEs. It gives equal treatment to elliptic, hyperbolic, and parabolic theory, and features an abundance of applications to equations that are important in physics and engineeringboth on the basic and more advanced level. Provides worked, figures and illustrations, and extensive references to other literature. First-Order Equations. Principles for Higher-Order Equations. The Wave Equation. The Laplace Equation. The Heat Equation. Linear Functional Analysis. Differential Calculus Methods. Linear Elliptic Theory. Two Additional Methods. Systems of Conservation Laws. Linear and Nonlinear Diffusion. Linear and Nonlinear Waves. Nonlinear Elliptic Equations. Appendix on Physics. For anyone using PDEs in physics and engineering applications.