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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 37)
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Table of contents (10 chapters)
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Front Matter
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Introduction
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First and Second Order Partial Differential Equations
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Front Matter
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Systems of Partial Differential Equations
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Front Matter
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Applications
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Front Matter
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Appendix
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Front Matter
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Back Matter
About this book
Reviews
"Provides a self-contained development of the new kind of differential equations… Includes many examples helpful in understanding the theory and is well [and] clearly written."
—Mathematical Reviews
"…Topics of the book have important applications in variational calculus, nonlinear elasticity, phase transitions, and optimal design. In particular, Part IV (Chapters 7-9) includes the singular value case, the case of potential wells, and the complex eikonal equation. A lot of background material, as viscosity solutions, quasiconvexity and related topics, piecewise polynomial approximation in Sobolev spaces, convex integration, or nonclassical Vitali-type covering theorems, is presented in the book, which makes it essentially self-contained. Most of the results are original from the authors, some results are published even first time. This makes the book a unique introduction to this new topic, and will be found useful by experts in nonlinear analysis in general and PDEs in particular, as well as by advanced graduate students in this field."
–Zentralblatt Math
Authors and Affiliations
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Department of Mathematics, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Bernard Dacorogna
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Dipartimento di Matematica “U. Dini”, Università di Firenze, Firenze, Italy
Paolo Marcellini
Bibliographic Information
Book Title: Implicit Partial Differential Equations
Authors: Bernard Dacorogna, Paolo Marcellini
Series Title: Progress in Nonlinear Differential Equations and Their Applications
DOI: https://doi.org/10.1007/978-1-4612-1562-2
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Boston 1999
Hardcover ISBN: 978-0-8176-4121-4
Softcover ISBN: 978-1-4612-7193-2
eBook ISBN: 978-1-4612-1562-2
Series ISSN: 1421-1750
Series E-ISSN: 2374-0280
Edition Number: 1
Number of Pages: XIII, 273
Topics: Functional Analysis, Partial Differential Equations, Numerical Analysis