Includes bibliographical references (p. 341-349) and index
|Statement||by Ki Sik Ha|
|LC Classifications||QA377 .S49177 2003|
|The Physical Object|
|Pagination||x, 352 p. ;|
|Number of Pages||352|
|LC Control Number||2002043298|
This chapter discusses nonlinear evolution operators in Banach spaces. It also presents the generation of evolution operators that provide the generalized solutions. A fundamental result on the construction of an evolution operators in general Banach spaces has been established by Crandall–Pazy. This book is concerned with nonlinear semigroups of contractions in Banach spaces and their application to the existence theory for differential equa tions associated with Cited by: Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and Banach algebras. The book provides researchers and graduate students with a unified survey of the fundamental principles of fixed point theory in Banach spaces Manufacturer: Chapman and Hall/CRC. Abstract. The purpose of this chapter is to state some basic concepts and to introduce well known results in the nonlinear operator theory and the theory of nonlinear evolutions in real Banach spaces that will play very important roles in the subsequent development of this book.
On Critical Sets for Nonlinear Equations of Evolution with Nonuniqueness G. STEPHEN JONES Accretive Operators and Nonlinear Evolution Equations in Banach Spaces TOSIO KATO Fixed Point Theorems for Nonexpansive Mappings WILLIAM A. KIRK On Some Nonlinear Partial Differential Equations Related to Optimal Control Theory. J. L. LIONS. Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. The presen t volume contains the book-length text of a paper entitled "Nonlinear operators and nonlinear equations of evolution in Banach spaces" composed in its entiret y during the calendar year to be publishe d as par t of the Proceedings of the Symposium on Nonlinear Functional Analysis held in connection with the. Nonlinear multiparametric equations: structure and topological dimension of global branches of solutions J. IZE, I. MASSABO, J. PEJSACHOWICZ and A. VIGNOLI PART 2 Remarks on the Euler and Navier-Stokes equations in R2 Tosio KATO 1 Nonlinear equations of evolution in Banach spaces .
“The present treatise completes it, by putting the emphasis upon the application of maximal monotone and accretive nonlinear operators in a Banach space to nonlinear dissipative dynamics, and in particular to the study of some time-dependent nonlinear partial differential equations seen as evolution equations in Banach spaces. Cited by: In this article we study the following nonlinear evolution equation. x t t + A ∘ F x = g x, A − 1 2 x t, t ∈ 0, T, 0 space H, F: X X ∗ and g: D(g) ⊆ H × H H are a nonlinear operators, X is a real Banach space. For example, operator A denotes −Δ with Dirichlet Author: Kamal N. Soltanov. This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. This is a monograph about the most significant results obtained in this area in last decades but is also. Gives an account of the state of the theory of nonlinear functional evolutions associated with multi-valued operators in infinite dimensional real Banach spaces. This book is suitable for graduate students and researchers working in diverse fields such as .