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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory (Monographs in Mathematics) (v. 1) - Herbert Amann
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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory (Monographs in Mathematics) (v. 1) - gebunden oder broschiert

ISBN: 3764351144

[SR: 2501317], Hardcover, [EAN: 9783764351144], Birkhäuser, Birkhäuser, Book, [PU: Birkhäuser], Birkhäuser, 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., 13824, Evolution, 13491, Fossils, 13922, Game Theory, 13535, Genetics, 13540, Molecular Biology, 16311091, Organic, 13542, Paleontology, 75, Science & Math, 1000, Subjects, 283155, Books, 13911, Differential Equations, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13946, Linear Programming, 226699, Applied, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13955, Mathematical Analysis, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13905, Calculus, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 13920, Functional Analysis, 226698, Pure Mathematics, 13884, Mathematics, 75, Science & Math, 1000, Subjects, 283155, Books, 14596, System Theory, 14545, Physics, 75, Science & Math, 1000, Subjects, 283155, Books, 491544, Calculus, 468218, Mathematics, 468216, Science & Mathematics, 465600, New, Used & Rental Textbooks, 2349030011, Specialty Boutique, 283155, Books

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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory - Herbert Amann
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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory - gebunden oder broschiert

ISBN: 3764351144

Hardcover, [EAN: 9783764351144], Birkhäuser, Birkhäuser, Book, [PU: Birkhäuser], 1999-08-31, Birkhäuser, 952136, Applied, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 952154, Chaos & Systems, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 952170, Mathematical Analysis, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 952174, Pure Mathematics, 952206, Fractals, 952204, Predicate & Propositional Calculus, 952134, Mathematics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 952248, System Theory, 952214, Physics, 952050, Professional Science, 950756, Professional & Technical, 927726, Subjects, 916520, Books, 956362, Evolution, 956374, Fossils, 956368, Game Theory, 956366, Genetics, 956370, Molecular Biology, 51290011, Organic, 956372, Paleontology, 956280, Science & Math, 927726, Subjects, 916520, Books, 956500, Differential Equations, 956494, Applied, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956504, Linear Programming, 956494, Applied, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956424, Mathematical Analysis, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956490, Calculus, 956454, Pure Mathematics, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956480, Functional Analysis, 956454, Pure Mathematics, 956414, Mathematics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956720, Acoustics & Sound, 956718, Physics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956748, System Theory, 956718, Physics, 956280, Science & Math, 927726, Subjects, 916520, Books, 956530, Chaos & Systems, 956718, Physics, 956280, Science & Math, 927726, Subjects, 916520, Books

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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory - Amann, H. / Amann, Herbert / Zharkov, Gely F.
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This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions. The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and HAlder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results. Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory Amann, H. / Amann, Herbert / Zharkov, Gely F., Birkh User

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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory Linear-and-Quasilinear-Parabolic-Problems~~Herbert-Amann Science/Tech>Mathematics>Mathematics Hardcover, Birkhauser Basel

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Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory (Monographs in Mathematics) (v. 1) - Amann, Herbert
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Linear and Quasilinear Parabolic Problems I. Abstract Linear Theory
Autor:

Amann, Herbert

Titel:

Linear and Quasilinear Parabolic Problems I. Abstract Linear Theory

ISBN-Nummer:

3764351144

This treatise gives an exposition of the functional analytical approach to quasilinear parabolic evolution equations, developed to a large extent by the author during the last 10 years. This approach is based on the theory of linear nonautonomous parabolic evolution equations and on interpolation-extrapolation techniques. It is the only general method that applies to noncoercive quasilinear parabolic systems under nonlinear boundary conditions.The present first volume is devoted to a detailed study of nonautonomous linear parabolic evolution equations in general Banach spaces. It contains a careful exposition of the constant domain case, leading to some improvements of the classical Sobolevskii-Tanabe results. It also includes recent results for equations possessing constant interpolation spaces. In addition, systematic presentations of the theory of maximal regularity in spaces of continuous and Hölder continuous functions, and in Lebesgue spaces, are given. It includes related recent theorems in the field of harmonic analysis in Banach spaces and on operators possessing bounded imaginary powers. Lastly, there is a complete presentation of the technique of interpolation-extrapolation spaces and of evolution equations in those spaces, containing many new results.

Detailangaben zum Buch - Linear and Quasilinear Parabolic Problems I. Abstract Linear Theory


EAN (ISBN-13): 9783764351144
ISBN (ISBN-10): 3764351144
Gebundene Ausgabe
Erscheinungsjahr: 1995
Herausgeber: Springer Basel AG
372 Seiten
Gewicht: 0,730 kg

Buch in der Datenbank seit 28.05.2007 19:50:20
Buch zuletzt gefunden am 22.10.2016 15:21:36
ISBN/EAN: 3764351144

ISBN - alternative Schreibweisen:
3-7643-5114-4, 978-3-7643-5114-4

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