Partial differential equations /
Lawrence C. Evans.
- xvii, 662 p. : ill. ; 26 cm.
- Graduate studies in mathematics, v. 19 1065-7339 ; .
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.