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Partial differential equations /

"This self-contained text offers an elementary introduction to partial differential equations (pdes), primarily focusing on linear equations, but also providing some perspective on nonlinear equations. The classical treatment is mathematically rigorous with a generally theoretical layout, thoug...

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Podrobná bibliografie
Hlavní autor: DiBenedetto, Emmanuele
Médium: Printed Book
Jazyk:English
Vydáno: Boston : Birkhauser, 2010.
Vydání:2nd ed.
Témata:
On-line přístup:Table of contents
Publisher description
Inhaltstext
Obsah:
  • Ch. 1. Quasi-linear equations and the Cauchy-Kowalewski theorem
  • Ch. 2. The Laplace equation
  • Ch. 3. The double layer potential and boundary value problems
  • Ch. 4. Integral equations and Eigenvalue problems
  • Ch. 5. The heat equation
  • Ch. 6. The wave equation
  • Ch. 7. Quasi-linear equations of first order
  • Ch. 8. Non-linear equations of first-order
  • Ch. 9. Linear elliptic equations with measurable coefficients
  • 10. DeGiorgi classes.