Variational methods for the study of nonlinear operators

  • 323 Pages
  • 0.75 MB
  • 1975 Downloads
  • English
by
Holden-Day , San Francisco
Nonlinear theories., Newton-Raphson me
Statement[by] M.M. Vainberg. With a chapter on Newton"s method, by L.V. Kantorovich and G.P. Akilov. Translated and supplemented by Amiel Feinstein.
SeriesHolden-Day series in mathematical physics
Classifications
LC ClassificationsQA401 .V313
The Physical Object
Paginationx, 323 p.
ID Numbers
Open LibraryOL5914268M
LC Control Number64016577

Variational methods for the study of nonlinear operators. [M M Vaĭnberg] based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study.

The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. Variational Methods for the Study of Nonlinear Operators with a chapter on Newton's Method by L. Kantorovich & G. Akilov by VAINBERG, M.

(translated and supplemented by Amiel Feinstein) and a great selection of related books, art and. Variational methods for the study of nonlinear operators. San Francisco, Holden-Day, (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: M M Vaĭnberg.

Variational methods for the study of nonlinear operators (Holden-Day series in mathematical physics) Hardcover – January 1, by M. M Vainberg (Author) See all formats and editions Hide other formats and editions.

Price New from Used from Author: M. M Vainberg. 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 by: 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. This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems.

The content is developed over six chapters, providing a. This chapter focuses on important classes of nonlinear operators stating abstract results that offer powerful tools for establishing the existence of solutions to nonlinear equations.

Specifically, they are useful in the study of nonlinear elliptic boundary value problems as demonstrated in the final three chapters of the present book.

Variational Methods for the Numerical Solution of Nonlinear Elliptic Problem Variational methods for the study of nonlinear operators book Ebook written by Roland Glowinski. Read this book using Google Play Books app on your PC, android, iOS devices.

Download for offline reading, highlight, bookmark or take notes while you read Variational Methods for the Numerical Solution of Nonlinear Elliptic : Roland Glowinski.

This chapter discusses the eigenvalue problem for variational inequalities and a new version of the Ljusternik–Schnirelmann theory. It seems reasonable to formulate for variational inequalities problems analogous to those studied in the usual, linear or nonlinear, theory of operators.

This book is issued from a 30 years experience on the presentation of variational methods to successive generations of students and researchers in Engineering. It gives a comprehensive, pedagogical and engineer-oriented presentation of the foundations of variational methods and of their use in numerical problems of Engineering.

Particular applications to Author: Eduardo Souza de Cursi. From the reviews: "The book under review deals with some variational methods to treat shape optimization problems.

The book contains a complete study of mathematical problems for scalar equations and eigenvalues, in particular regarding the existence of solutions in shape optimization. As long as a branch of knowledge offers an abundance of problems, it is full of vitality.

Details Variational methods for the study of nonlinear operators FB2

David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a. Nonlinear operators. Gen Nakamura and Roland Potthast Our first goal is to study integral operators of the form.

The first one uses a variational approach and is based on showing that the variational form which defines a weak solution to the problem is Fréchet differentiable with respect to variations of the boundary.

Click Download or Read Online button to get variational methods with applications in science and engineering book now. This site is like a library, Use search box in the widget to get ebook that you want.

developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators.

Download Variational methods for the study of nonlinear operators EPUB

Struwe, "Variational Methods, Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems,", Ergebnisse der Mathematik und ihrer Grenzgebiete, 3 (). Google Scholar [13] J.

Tan, The Brezis-Nirenberg type problem involving the square root of the Laplacian, Calc. Var. Partial Differential Equations, 36 (), 21Cited by: This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators.

Using variational formulations, Kikuchi and Oden derive a multitude of results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with.

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints.

Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable.

Variational methods for nonlinear operators FollowingVainberg13, we outline here certain basic properties of variational methods for nonlinear operators on Banachspaces. In an abstract sense, wewish to consider a special class ofnonlinear operator equations ofthe form () g(u) = e () Lim1I.!i'(u+h).!i' (u) - 6.!i'(u,h)II = 0 IIhll-o.

springer, 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. case of nonlinear regularization methods, i.e., nonlinear maps R (possibly even multi-valued) became a eld of intensive study. This was driven in particular by developments related to variational methods such as total variation techniques (cf.

[, 1, 79]) or sparsity andFile Size: 7MB. This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics.

with the nonlinear operator F: X* → X and the linear operator K: X → X*, with the aid of the theory of monotone operators and the fixed-point applications relate to Hammerstein integral equations and boundary value problems for Cited by: 2.

CiteScore: ℹ CiteScore: CiteScore measures the average citations received per document published in this title. CiteScore values are based on citation counts in a given year (e.g. ) to documents published in three previous calendar years (e.g.

– 14), divided by the number of documents in these three previous years (e.g. – 14).

Description Variational methods for the study of nonlinear operators FB2

This book presents new results concerning the xed-point theory, the study of variational-hemivariational inequalities and the study of static, quasistatic and dynamic frictional and frictionless contact problems.

It provides an example of the succesful use of nonlinear functional analysis in the mathematical modeling in solid and contact mechanics. In this work, we concern ourselves with the problem of solving a general system of variational inequalities whose solutions also solve a common fixed-point problem of a family of countably many nonlinear operators via a hybrid viscosity implicit iteration method in 2 uniformly smooth and uniformly convex Banach spaces.

The classes of history-dependent operators and almost history-dependent operators are exposed in a large generality. A systematic and unified presentation contains a carefully-selected collection of new results on variational-hemivariational inequalities with or without unilateral constraints.

This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space. Splitting algorithms for the sum of two monotone study two splitting algorithms for (stationary and evolution) problems involving the sum of two monotone operators.

Scale Space and Variational Methods in Computer Vision, Low Complexity Regularization of Linear Inverse Problems. SIAM Journal on Numerical Cited by:.

The progress in nonlinear functional analysis has allowed the study of many nonlinear problems in mathematical physics. This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space.A variational approach to fully nonlinear operators.

Introduction Rayleigh quotient. Let be a bounded smooth domain of 1:= inf u2H1 o(R R jruj2dx juj2dx it is well known that the in mum is achieved by theDirichlet.This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems.

The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary.