In the few years since their appearance in the mid-sixties, variational inequalities have developed to such an extent and so thoroughly that they may now be considered an “institutional” development of the theory of differential equations (with appreciable feedback as will be shown). This book was written in the light of these considerations both in regard to the choice of topics and to their treatment. In short, roughly speaking my intention was to write a book on second-order elliptic operators, with the first half of the book, as might be expected, dedicated to function spaces and to linear theory whereas the second, nonlinear half would deal with variational inequalities and non variational obstacle problems, rather than, for example, with quasilinear or fully nonlinear equations (with a few exceptions to which I shall return later). This approach has led me to omit any mention of “physical” motivations in the wide sense of the term, in spite of their historical and continuing importance in the development of variational inequalities. I here addressed myself to a potential reader more or less aware of the significant role of variational inequalities in numerous fields of applied mathematics who could use an analytic presentation of the fundamental theory, which would be as general and self-contained as possible.
Elliptic Differential Equations and Obstacle Problems Free Download
June 18, 2022
You may also like
DISCRETE MATHEMATICS
Bird’s Higher Engineering Mathematics, 9th Edition By John Bird PDF
February 2, 2024
Higher Engineering Mathematics has helped thousands of students to succeed in their exams by developing problem-solving skills, It is supported by over 600...
DISCRETE MATHEMATICS
Complex Analytic Methods for Partial Differential Equations An Introductory Text by Heinrich G W Begehr PDF
January 13, 2024
This is an introductory text for beginners who have a basic knowledge of complex analysis, functional analysis and partial differential equations. Riemann and...
DISCRETE MATHEMATICS
Nonlinear Partial Differential Equations Asymptotic Behavior of Solutions and Self-Similar Solutions by Mi-Ho Giga PDF
January 13, 2024
The purpose of this book is to present typical methods (including rescaling methods) for the examination of the behavior of solutions of nonlinear partial di...
Recent Posts
- The Physics of Quantum Mechanics by James Binney PDF
- Python Programming for Biology Bioinformatics and Beyond by Tim J. Stevens PDF
- Applied Physics I for Science and Engineering by Prof Dattatray S Wavhal PDF
- Modern Livestock & Poultry Production 8th Edition by Frank Flanders PDF
- 30-Second Chemistry The 50 Most Elemental Concepts in Chemistry, Each Explained in Half a Minute by Nivaldo Tro PDF
Add Comment