Implicit Partial Differential Equations by Bernard Dacorogna, Paolo Marcellini.

Nonlinear partial differential equations has become one of the main tools of mod­ ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of function...

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Bibliographic Details
Main Authors: Dacorogna, Bernard. (Author,, Marcellini, Paolo. (
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1999.
Edition:1st ed. 1999.
Series:Progress in Nonlinear Differential Equations and Their Applications, 37
Springer eBook Collection.
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 1.1 The first order case
  • 1.2 Second and higher order cases
  • 1.3 Different methods
  • 1.4 Applications to the calculus of variations
  • 1.5 Some unsolved problems
  • I First Order Equations
  • 2 First and Second Order PDE’s
  • 3 Second Order Equations
  • 4 Comparison with Viscosity Solutions
  • II Systems of Partial Differential Equations
  • 5 Some Preliminary Results
  • 6 Existence Theorems for Systems
  • III Applications
  • 7 The Singular Values Case
  • 8 The Case of Potential Wells
  • 9 The Complex Eikonal Equation
  • IV Appendix
  • 10 Appendix: Piecewise Approximations
  • References.