Partial differential equations

By: Evans, Lawrence CMaterial type: TextTextPublication details: Rhode Island American Mathematical Society 2009Description: xvii, 662 ppISBN: 9780821848593Subject(s): Mathematics; Differential equations; Partial differential equationsLOC classification: QA377
Contents:
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
Summary: Lawrence C. Evans presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations
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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

Lawrence C. Evans presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations

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