Implicit Partial Differential Equations [Softcover reprint of the original 1st ed. 1999] 1461271932, 978-1-4612-7193-2, 978-1-4612-1562-2, 1461215625

Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of

321 25 2MB

English Pages 273 [277] Year 1999

Implicit Partial Differential Equations [Softcover reprint of the original 1st ed. 1999]
1461271932, 978-1-4612-7193-2, 978-1-4612-1562-2, 1461215625

Author / Uploaded
Bernard Dacorogna
Paolo Marcellini

Table of contents :
Front Matter....Pages i-xiii
Introduction....Pages 1-30
Front Matter....Pages 31-31
First Order Equations....Pages 33-68
Second Order Equations....Pages 69-93
Comparison with Viscosity Solutions....Pages 95-117
Front Matter....Pages 119-119
Some Preliminary Results....Pages 121-140
Existence Theorems for Systems....Pages 141-165
Front Matter....Pages 167-167
The Singular Values Case....Pages 169-203
The Case of Potential Wells....Pages 205-216
The Complex Eikonal Equation....Pages 217-222
Front Matter....Pages 223-223
Appendix: Piecewise Approximations....Pages 225-247
Back Matter....Pages 249-273

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