Linear and Quasilinear Parabolic Problems

Description: Linear and Quasilinear Parabolic Problems Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Volume I: Abstract Linear Theory Author(s): Herbert Amann Format: Paperback Publisher: Birkhauser Verlag AG, Switzerland Imprint: Birkhauser Verlag AG ISBN-13: 9783034899505, 978-3034899505 Synopsis 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.

Price: 127.42 GBP

Location: Aldershot

End Time: 2024-05-27T16:00:50.000Z

Shipping Cost: 38.35 GBP