TY - BOOK AU - Evans, Lawrence C. TI - Partial differential equations SN - 9780821848593 AV - QA377 PY - 2009/// CY - Rhode Island PB - American Mathematical Society KW - Mathematics; Differential equations; Partial differential equations N1 - 1. Introduction; Part- I. Representation Formulas for Solutions; 2. Four Important Linear PDE; 3. Nonlinear First-Order PDE; 4. Other Ways to Represent Solutions; Part- II. Theory for Linear Partial Differential Equations; 5. Sobolev Spaces; 6. Second-Order Elliptic Equations; 7. Linear Evolution Equations; Part-III. Theory for Nonlinear Partial Differential Equations; 8. The Calculus of Variations; 9. Nonvariational Techniques; 10. Hamilton Jacobi Equations; 11. Systems of Conservation Laws Appendix A: Notation; Appendix B: Inequalities; Appendix C: Calculus Facts; Appendix D: Linear Functional Analysis; Appendix E: Measure Theory; Bibliography; Index N2 - Lawrence C. Evans presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations ER -