Nonlinear Elliptic Boundary Value Problems and Their Applications
Author : H Begehr
Publisher : CRC Press
Page : 282 pages
File Size : 47,84 MB
Release : 1996-05-15
Category : Mathematics
ISBN : 9780582292048
Inequalities And Applications
Author : Ravi P Agarwal
Publisher : World Scientific
Page : 606 pages
File Size : 49,98 MB
Release : 1994-07-15
Category : Mathematics
ISBN : 9814501859
Book Description
World Scientific Series in Applicable Analysis (WSSIAA) reports new developments of a high mathematical standard and of current interest. Each volume in the series is devoted to mathematical analysis that has been applied, or is potentially applicable to the solution of scientific, engineering, and social problems. The third volume of WSSIAA contains 47 research articles on inequalities by leading mathematicians from all over the world and a tribute by R.M. Redheffer to Wolfgang Walter — to whom this volume is dedicated — on his 66th birthday.Contributors: A Acker, J D Aczél, A Alvino, K A Ames, Y Avishai, C Bandle, B M Brown, R C Brown, D Brydak, P S Bullen, K Deimling, J Diaz, Á Elbert, P W Eloe, L H Erbe, H Esser, M Essén, W D Evans, W N Everitt, V Ferone, A M Fink, R Ger, R Girgensohn, P Goetgheluck, W Haussmann, S Heikkilä, J Henderson, G Herzog, D B Hinton, T Horiuchi, S Hu, B Kawohl, V G Kirby; N Kirchhoff, G H Knightly, H W Knobloch, Q Kong, H König, A Kufner, M K Kwong, A Laforgia, V Lakshmikantham, S Leela, R Lemmert, E R Love, G Lüttgens, S Malek, R Manásevich, J Mawhin, R Medina, M Migda, R J Nessel, Z Páles, N S Papageorgiou, L E Payne, J Pe…ariƒ, L E Persson, A Peterson, M Pinto, M Plum, J Popenda, G Porru, R M Redheffer, A A Sagle, S Saitoh, D Sather, K Schmitt, D F Shea, A Simon, S Sivasundaram, R Sperb, C S Stanton, G Talenti, G Trombetti, S Varošanec, A S Vatsala, P Volkmann, H Wang, V Weckesser, F Zanolin, K Zeller, A Zettl.
An Introduction to Nonlinear Functional Analysis and Elliptic Problems
Author : Antonio Ambrosetti
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 30,46 MB
Release : 2011-07-19
Category : Mathematics
ISBN : 0817681140
Book Description
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem
Author : Roland Glowinski
Publisher : SIAM
Page : 473 pages
File Size : 44,37 MB
Release : 2015-11-04
Category : Mathematics
ISBN : 1611973783
Book Description
Variational Methods for the Numerical Solution of Nonlinear Elliptic Problems?addresses computational methods that have proven efficient for the solution of a large variety of nonlinear elliptic problems. These methods can be applied to many problems in science and engineering, but this book focuses on their application to problems in continuum mechanics and physics. This book differs from others on the topic by presenting examples of the power and versatility of operator-splitting methods; providing a detailed introduction to alternating direction methods of multipliers and their applicability to the solution of nonlinear (possibly nonsmooth) problems from science and engineering; and showing that nonlinear least-squares methods, combined with operator-splitting and conjugate gradient algorithms, provide efficient tools for the solution of highly nonlinear problems. The book provides useful insights suitable for advanced graduate students, faculty, and researchers in applied and computational mathematics as well as research engineers, mathematical physicists, and systems engineers.
Nonlinear Parabolic and Elliptic Equations
Author : C.V. Pao
Publisher : Springer Science & Business Media
Page : 786 pages
File Size : 42,77 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461530342
Book Description
In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.
Elliptic Problems in Nonsmooth Domains
Author : Pierre Grisvard
Publisher : SIAM
Page : 426 pages
File Size : 14,5 MB
Release : 2011-10-20
Category : Mathematics
ISBN : 1611972027
Book Description
Originally published: Boston: Pitman Advanced Pub. Program, 1985.
Unified Transform for Boundary Value Problems
Author : Athanasios S. Fokas
Publisher : SIAM
Page : 290 pages
File Size : 29,53 MB
Release : 2014-12-30
Category : Mathematics
ISBN : 1611973813
Book Description
This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs.? The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.
Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
Author : Dumitru Motreanu
Publisher : Springer Science & Business Media
Page : 465 pages
File Size : 39,89 MB
Release : 2013-11-19
Category : Mathematics
ISBN : 1461493234
Book Description
This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operators appear for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented.
Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators
Author : István Faragó
Publisher : Nova Publishers
Page : 424 pages
File Size : 34,2 MB
Release : 2002
Category : Mathematics
ISBN : 9781590333761
Book Description
Numerical Solution of Nonlinear Elliptic Problems Via Preconditioning Operators - Theory & Applications
Nonlinear Elliptic Partial Differential Equations
Author : Hervé Le Dret
Publisher : Springer
Page : 259 pages
File Size : 24,33 MB
Release : 2018-05-25
Category : Mathematics
ISBN : 3319783904
Book Description
This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
