Linear and Quasilinear Parabolic Problems

Name: Linear and Quasilinear Parabolic Problems
Brand: Springer Basel
SKU: 9783034899505
Price: 4111 CZK
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Volume I: Abstract Linear Theory

Autor: Herbert Amann

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer Basel

Dostupnost: Skladem u dodavatele

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In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type t...

Informace o knize

Autor

Herbert Amann

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

338

EAN

9783034899505

ISBN

3034899505

Enbook ID

06798763

Vydavatel

Springer Basel

Hmotnost

575

Rozměry

155 x 235 x 21

Kompletní popis

In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, approxi tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations occurring in science, some of those being of rather 'nonstandard' type. In partic ular, to date it is the only general method that applies to noncoercive systems. Although we are interested in nonlinear problems, our method is based on the theory of linear holomorphic semigroups. This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille Yosida theorem: the Crandall-Liggett theorem. The latter theory is well-known and well-documented in the literature. Even though it is a powerful technique having found many applications, it is limited in its scope by the fact that, in concrete applications, it is closely tied to the maximum principle. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. For these reasons we do not include that theory.

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Linear and Quasilinear Parabolic Problems

Volume I: Abstract Linear Theory

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také