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Lawrence C Evans

Partial Differential Equations / Lawrence C Evans - 2nd - Rhode Island : American Mathematical Society : 2016 - xxi, 749p. llustrations ; 24 cm - Graduate studies in mathematics, v. 19. .

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.

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

ISBN: 9781470414979

Subjects--Topical Terms:
Mathematics
Differential equations, Partial.
Équations aux dérivées partielles.

Dewey Class. No.: 515.353 EVA