Lawrence C Evans creator Lawrence C Evans text xxu Rhode Island : American Mathematical Society : 2016 2nd monographic eng

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xxi, 749p. llustrations ; 24 cm Lawrence C. Evans presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations. 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 Mathematics Differential equations, Partial Équations aux dérivées partielles 515.353 EVA 9781470414979 181113 20181113123558.0