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Implicit Partial Differential Equations by Bernard Dacorogna, Paolo Marcellini

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Implicit Partial Differential Equations written by Bernard Dacorogna, Paolo Marcellini
Nonlinear partial differential equations has become one of the main tools of modern 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 functional analysis derived its inspiration from the study of linear pdes.
In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature.

Book Detail :-
Title: Implicit Partial Differential Equations
Author(s): Bernard Dacorogna, Paolo Marcellini
Publisher: Birkhäuser Basel
Series: Progress in Nonlinear Differential Equations and Their Applications 37
Year: 1999
Pages: 277
Type: PDF
Language: English
ISBN: 978-1-4612-7193-2,978-1-4612-1562-2
Country: Switzerland
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About Author :-
The author Bernard Dacorogna is a PHD and Professor Emeritus of Statistics at the University of Florida. He is the author of Advanced Calculus with Applications in Statistics, Second Edition and co-author of Statistical Tests for Mixed Linear Models, all published by Wiley. Dr. Khuri is a member of numerous academic associations, among them the American Statistical Association and the Institute of Mathematical Statistics.

All Famous Books of this Author :-
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Book Contents :- Implicit Partial Differential Equations written by Bernard Dacorogna, Paolo Marcellini cover the following topics.
1. Introduction
I-First and Second Order PDE's
2. First Order Equations
3. Second Order Equations
4. Comparison with Viscosity Solutions
II-Systems of Partial Differential Equations
5. Some Preliminary Results
6. Existence Theorems for Systems
7. The Singular Values Case
8. The Case of Potential Wells
9. The Complex Eikonal Equation
10. Appendix: Piecewise Approximations

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