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020 _a9781470414979
082 _a515.353 EVA
100 _aLawrence C Evans
245 _aPartial Differential Equations
_c/ Lawrence C Evans
250 _a2nd
260 _aRhode Island
_b: American Mathematical Society
_c: 2016
300 _axxi, 749p.
_b llustrations
_c; 24 cm
490 _aGraduate studies in mathematics, v. 19.
505 _a1. 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.
520 _aLawrence C. Evans presents a comprehensive survey of modern techniques in the theoretical study of partial differential equations, with particular emphasis on nonlinear equations.
650 _aMathematics
650 _aDifferential equations, Partial.
650 _aÉquations aux dérivées partielles.
700 _aLawrence C Evans
942 _cMDL
999 _c50376
_d50376