Description: Linear and Quasilinear Parabolic Problems by Herbert Amann 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. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher 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. Notes Springer Book Archives Table of Contents Notations and Conventions.- 1 Topological Spaces.- 2 Locally Convex Spaces.- 3 Complexifications.- 4 Unbounded Linear Operators.- 5 General Conventions.- I Generators and Interpolation.- 1 Generators of Analytic Semigroups.- 2 Interpolation Functors.- II Cauchy Problems and Evolution Operators.- 1 Linear Cauchy Problems.- 2 Parabolic Evolution Operators.- 3 Linear Volterra Integral Equations.- 4 Existence of Evolution Operators.- 5 Stability Estimates.- 6 Invariance and Positivity.- III Maximal Regularity.- 1 General Principles.- 2 Maximal Hölder Regularity.- 3 Maximal Continuous Regularity.- 4 Maximal Sobolev Regularity.- IV Variable Domains.- 1 Higher Regularity.- 2 Constant Interpolation Spaces.- 3 Maximal Regularity.- V Scales of Banach Spaces.- 1 Banach Scales.- 2 Evolution Equations in Banach Scales.- List of Symbols. Promotional Springer Book Archives Long Description In this treatise we present the semigroup approach to quasilinear evolution equa Details ISBN3034899505 Author Herbert Amann Short Title LINEAR & QUASILINEAR PARABOLIC Series Monographs in Mathematics Language English ISBN-10 3034899505 ISBN-13 9783034899505 Media Book Format Paperback Series Number 89 Subtitle Volume I: Abstract Linear Theory Edition 95199th Year 2011 Publication Date 2011-09-27 Country of Publication Switzerland Pages 338 Illustrations XXXV, 338 p. Imprint Birkhauser Verlag AG Place of Publication Basel Publisher Birkhauser Verlag AG Edition Description Softcover reprint of the original 1st ed. 1995 Alternative 9783764351144 DEWEY 515.353 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96319658;
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ISBN-13: 9783034899505
Book Title: Linear and Quasilinear Parabolic Problems
Number of Pages: 338 Pages
Language: English
Publication Name: Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory
Publisher: Birkhauser Verlag Ag
Publication Year: 2011
Subject: Computer Science, Mathematics
Item Height: 235 mm
Item Weight: 575 g
Type: Textbook
Author: Herbert Amann
Item Width: 155 mm
Format: Paperback