Linear and Quasilinear Parabolic Problems

Volume I: Abstract Linear Theory

By:

Herbert Amann

Format:

Paperback / softback

Series:

Monographs in Mathematics

Show Hide Adult Content

$476.99

Available from supplier

Usually ships in 3-4 weeks

0 in Trolley

Price Match

Wrap this item as a gift ($5.90) - add a free gift card on the next page

Buy Now, Pay Later with:

4 payments of $119.25 with Afterpay Learn more

Availability

Delivering to:

Estimated arrival:

Around 12-24 June using International Courier

Description

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.

Release date Australia

September 27th, 2011

Author

Herbert Amann

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1995

Illustrations

XXXV, 338 p.

Pages

338

Series

Monographs in Mathematics

Dimensions

156x234x19

ISBN-13

9783034899505

Product ID

20771006

Customer reviews

Nobody has reviewed this product yet. You could be the first!

Write a Review

Marketplace listings

There are no Marketplace listings available for this product currently.
Already own it? Create a free listing and pay just 9% commission when it sells!

Sell Yours Here