Controllability of Partial Differential Equations Governed by Multiplicative Controls by Alexander Y. Khapalov.

The goal of this monograph is to address the issue of the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The mathematical models we examine include the linear and nonlinear parabolic a...

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Bibliographic Details
Main Author: Khapalov, Alexander Y. (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Lecture Notes in Mathematics, 1995
Springer eBook Collection.
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Online Access:Click to view e-book
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Summary:The goal of this monograph is to address the issue of the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The mathematical models we examine include the linear and nonlinear parabolic and hyperbolic PDE's, the Schrödinger equation, and coupled hybrid nonlinear distributed parameter systems modeling the swimming phenomenon. The book offers a new, high-quality and intrinsically nonlinear methodology to approach the aforementioned highly nonlinear controllability problems.
Physical Description:XV, 284 p. 26 illus. online resource.
ISBN:9783642124136
ISSN:0075-8434 ;
DOI:10.1007/978-3-642-12413-6