Nonlinear Differential Equations of Monotone Types in Banach Spaces (Hardcover, 2010 ed.)

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 Leray-Schauder 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 Hille-Yosida 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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Springer Monographs in Mathematics
Release date:	2010
First published:	2010
Authors:	Viorel Barbu
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Hardcover
Pages:	272
Edition:	2010 ed.
ISBN-13:	978-1-4419-5541-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	1-4419-5541-0
Barcode:	9781441955418

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