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Author : Sperb
Release : 1981-07-28
Genre : Computers
Kind : eBook
Book Rating : 645/5 ( reviews)
Book Synopsis Maximum Principles and Their Applications by : Sperb
Download or read book Maximum Principles and Their Applications written by Sperb. This book was released on 1981-07-28. Available in PDF, EPUB and Kindle. Book excerpt: Maximum Principles and Their Applications
Author :
Release : 1981
Genre : Differential equations, Partial
Kind : eBook
Book Rating : 806/5 ( reviews)
Book Synopsis Maximum Principles and Their Applications by :
Download or read book Maximum Principles and Their Applications written by . This book was released on 1981. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Patrizia Pucci
Release : 2007-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 450/5 ( reviews)
Book Synopsis The Maximum Principle by : Patrizia Pucci
Download or read book The Maximum Principle written by Patrizia Pucci. This book was released on 2007-12-23. Available in PDF, EPUB and Kindle. Book excerpt: Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.
Author : Luis J. Alías
Release : 2016-02-13
Genre : Mathematics
Kind : eBook
Book Rating : 373/5 ( reviews)
Book Synopsis Maximum Principles and Geometric Applications by : Luis J. Alías
Download or read book Maximum Principles and Geometric Applications written by Luis J. Alías. This book was released on 2016-02-13. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research.
Author : Yihong Du
Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 244/5 ( reviews)
Book Synopsis Order Structure and Topological Methods in Nonlinear Partial Differential Equations by : Yihong Du
Download or read book Order Structure and Topological Methods in Nonlinear Partial Differential Equations written by Yihong Du. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
