Linear and Quasilinear Parabolic Problems is popular PDF and ePub book, written by Herbert Amann in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Linear and Quasilinear Parabolic Problems can be Read Online from any device for your convenience.
Linear and Quasilinear Parabolic Problems Book PDF Summary
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.
Detail Book of Linear and Quasilinear Parabolic Problems PDF
- Author : Herbert Amann
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034892216
- Genre : Mathematics
- Total Page : 366 pages
- Language : English
- PDF File Size : 14,8 Mb
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