Partial Regularity Results for Non-Linear
Title | Partial Regularity Results for Non-Linear PDF eBook |
Author | Charles B. Morrey |
Publisher | |
Pages | |
Release | 1967 |
Genre | |
ISBN |
Regularity Results for Nonlinear Elliptic Systems and Applications
Title | Regularity Results for Nonlinear Elliptic Systems and Applications PDF eBook |
Author | Alain Bensoussan |
Publisher | Springer Science & Business Media |
Pages | 450 |
Release | 2013-04-17 |
Genre | Mathematics |
ISBN | 3662129051 |
This book collects many helpful techniques for obtaining regularity results for solutions of nonlinear systems of partial differential equations. These are applied in various cases to provide useful examples and relevant results, particularly in such fields as fluid mechanics, solid mechanics, semiconductor theory and game theory.
Systems of Nonlinear Partial Differential Equations
Title | Systems of Nonlinear Partial Differential Equations PDF eBook |
Author | J.M. Ball |
Publisher | Springer Science & Business Media |
Pages | 476 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 9400971893 |
This volume contains the proceedings of a NATO/London Mathematical Society Advanced Study Institute held in Oxford from 25 July - 7 August 1982. The institute concerned the theory and applications of systems of nonlinear partial differential equations, with emphasis on techniques appropriate to systems of more than one equation. Most of the lecturers and participants were analysts specializing in partial differential equations, but also present were a number of numerical analysts, workers in mechanics, and other applied mathematicians. The organizing committee for the institute was J.M. Ball (Heriot-Watt), T.B. Benjamin (Oxford), J. Carr (Heriot-Watt), C.M. Dafermos (Brown), S. Hildebrandt (Bonn) and J.S. pym (Sheffield) . The programme of the institute consisted of a number of courses of expository lectures, together with special sessions on different topics. It is a pleasure to thank all the lecturers for the care they took in the preparation of their talks, and S.S. Antman, A.J. Chorin, J.K. Hale and J.E. Marsden for the organization of their special sessions. The institute was made possible by financial support from NATO, the London Mathematical Society, the u.S. Army Research Office, the u.S. Army European Research Office, and the u.S. National Science Foundation. The lectures were held in the Mathematical Institute of the University of Oxford, and residential accommodation was provided at Hertford College.
Geometric Analysis and Nonlinear Partial Differential Equations
Title | Geometric Analysis and Nonlinear Partial Differential Equations PDF eBook |
Author | Stefan Hildebrandt |
Publisher | Springer Science & Business Media |
Pages | 663 |
Release | 2012-12-06 |
Genre | Mathematics |
ISBN | 3642556272 |
This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of the presented problems as well as the state of the art and offer a well chosen guide to the literature. This way the papers became lengthier than customary these days, but the level of presentation is such that an advanced graduate student should find the various articles both readable and stimulating.
Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935
Title | Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 PDF eBook |
Author | |
Publisher | |
Pages | 248 |
Release | 1974 |
Genre | Securities |
ISBN |
Nonlinear Evolution Equations
Title | Nonlinear Evolution Equations PDF eBook |
Author | Nina Nikolaevna Uraltseva |
Publisher | American Mathematical Soc. |
Pages | 240 |
Release | 1995-05-19 |
Genre | Mathematics |
ISBN | 9780821895955 |
This collection focuses on nonlinear problems in partial differential equations. Most of the papers are based on lectures presented at the seminar on partial differential equations and mathematical physics at St. Petersburg University. Among the topics explored are the existence and properties of solutions of various classes of nonlinear evolution equations, nonlinear imbedding theorems, bifurcations of solutions, and equations of mathematical physics (Navier-Stokes type equations and the nonlinear Schrodinger equation). The book will be useful to researchers and graduate students working in partial differential equations and mathematical physics.
Fully Nonlinear Elliptic Equations
Title | Fully Nonlinear Elliptic Equations PDF eBook |
Author | Luis A. Caffarelli |
Publisher | American Mathematical Soc. |
Pages | 114 |
Release | 1995 |
Genre | Mathematics |
ISBN | 0821804375 |
The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations. This class of equations often arises in control theory, optimization, and other applications. The authors give a detailed presentation of all the necessary techniques. Instead of treating these techniques in their greatest generality, they outline the key ideas and prove the results needed for developing the subsequent theory. Topics discussed in the book include the theory of viscosity solutions for nonlinear equations, the Alexandroff estimate and Krylov-Safonov Harnack-type inequality for viscosity solutions, uniqueness theory for viscosity solutions, Evans and Krylov regularity theory for convex fully nonlinear equations, and regularity theory for fully nonlinear equations with variable coefficients.