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Partial Differential Equations / Lawrence C Evans

By: Contributor(s): Material type: TextTextSeries: Graduate studies in mathematics, v. 19Publication details: Rhode Island : American Mathematical Society : 2016Edition: 2ndDescription: xxi, 749p. llustrations ; 24 cmISBN:
  • 9781470414979
Subject(s): DDC classification:
  • 515.353 EVA
Contents:
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.
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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Holdings
Item type Current library Call number Status Barcode
Mathematics Departmental Library Mathematics Departmental Library Mathematics Departmental Library 515.353 EVA (Browse shelf(Opens below)) Available M007
Total holds: 0

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.

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