Description
Book SynopsisTrade ReviewThis second edition of the textbook addresses even more of the current research directions on PDEs and Professor Evans should be praised for taking the time and effort to make an already successful and wonderful book even better. Needless to say, I recommend this book, with unreserved enthusiasm, to anyone with an interest on the study of PDEs"" -
Mathematical Reviews""This book would be invaluable for a graduate student preparing to do research in PDEs; I wish I had a copy in graduate school."" -
MAA ReviewsTable of Contents
- Introduction
- Representation formulas for solutions: Four important linear partial differential equations
- Nonlinear first-order PDE
- Other ways to represent solutions
- Theory for linear partial differential equations: Sobolev spaces
- Second-order elliptic equations
- Linear evolution equations
- Theory for nonlinear partial differential equations: The calculus of variations
- Nonvariational techniques
- Hamilton-Jacobi equations
- Systems of conservation laws
- Nonlinear wave equations
- Appendices
- Bibliography
- Index
