Nonlinear differential equations of monotone types in Banach spaces
 Responsibility
 Viorel Barbu.
 Language
 English.
 Imprint
 New York : Springer, c2010.
 Physical description
 x, 272 p. ; 25 cm.
 Series
 Springer monographs in mathematics.
Access
Creators/Contributors
 Contributor
 Barbu, Viorel.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Fundamental Functional Analysis. Maximal Monotone Operators in Banach Spaces. Accretive Nonlinear Operators in Banach Spaces. The Cauchy Problem in Banach Spaces. Existence Theory of Nonlinear Dissipative Dynamics.
 (source: Nielsen Book Data)
 Publisher's Summary
 In the last decades, functional methods played an increasing role in the qualita tive theory of partial differential equations. The spectral methods and theory of C 0 semigroups of linear operators as well as LeraySchauder degree theory, ?xed point theorems, and theory of maximal monotone nonlinear operators are now essential functional tools for the treatment of linear and nonlinear boundary value problems associated with partial differential equations. An important step was the extension in the early seventies of the nonlinear dy namics of accretive (dissipative) type of the HilleYosida theory of C semigroups 0 of linear continuous operators. The main achievement was that the Cauchy problem associated with nonlinear m accretive operators in Banach spaces is well posed and the corresponding dynamic is expressed by the Peano exponential formula from ?nite dimensional theory. This fundamental result is the corner stone of the whole existence theory of nonlinear in?nite dynamics of dissipative type and its contri bution to the development of the modern theory of nonlinear partial differential equations cannot be underestimated.
(source: Nielsen Book Data)  Supplemental links

Publisher description
Table of contents only
Subjects
Bibliographic information
 Publication date
 2010
 Series
 Springer monographs in mathematics, 14397382
 ISBN
 9781441955418
 1441955410
 1441955429 (ebk.)
 9781441955425 (ebk.)
 Publisher Number
 12633647