TY - BOOK AU - Lawrence C Evans AU - Lawrence C Evans TI - Partial Differential Equations T2 - Graduate studies in mathematics, v. 19 SN - 9781470414979 U1 - 515.353 EVA PY - 2016/// CY - Rhode Island PB - : American Mathematical Society KW - Mathematics KW - Differential equations, Partial KW - Équations aux dérivées partielles N1 - 1. Introduction -- pt. I. Representation Formulas for Solutions. 2. Four Important Linear PDE. 3. Nonlinear First-Order PDE. 4. Other Ways to Represent Solutions -- pt. II. Theory for Linear Partial Differential Equations. 5. Sobolev Spaces. 6. Second-Order Elliptic Equations. 7. Linear Evolution Equations -- pt. III. Theory for Nonlinear Partial Differential Equations. 8. The Calculus of Variations. 9. Nonvariational Techniques. 10. Hamilton -- Jacobi Equations. 11. Systems of Conservation Laws -- App. B. Inequalities -- App. C. Calculus Facts -- App. D. Linear Functional Analysis -- App. E. Measure Theory 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 -