Controllability of Partial Differential Equations Governed by Multiplicative Controls

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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Hlavní autor: Khapalov, Alexander Y.
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Vydání:1st ed. 2010.
Edice:Lecture Notes in Mathematics 1995
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Poznámka: L'impression du document génère 287 p.
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Edition sous un autre format:• Controllability of partial differential equations governed by multiplicative controls, Alexander Y. Khapalov, Heidelberg, Springer, 2010, 1 vol. (XV-284 p.), Lecture notes in mathematics, 978-3-642-12412-9
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245 1 0 |a Controllability of Partial Differential Equations Governed by Multiplicative Controls   |c Alexander Y. Khapalov. 
250 |a 1st ed. 2010. 
260 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 1 |a Lecture Notes in Mathematics  |v 1995  |x 1617-9692 
500 |a L'impression du document génère 287 p. 
500 |a Archives Springer e-books (Licence nationale) 
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504 |a Bibliogr. Index 
505 1 |a Multiplicative Controllability of Parabolic Equations Global Nonnegative Controllability of the 1-D Semilinear Parabolic Equation Multiplicative Controllability of the Semilinear Parabolic Equation: A Qualitative Approach The Case of the Reaction-Diffusion Term Satisfying Newton s Law Classical Controllability for the Semilinear Parabolic Equations with Superlinear Terms Multiplicative Controllability of Hyperbolic Equations Controllability Properties of a Vibrating String with Variable Axial Load and Damping Gain Controllability Properties of a Vibrating String with Variable Axial Load Only Reachability of Nonnegative Equilibrium States for the Semilinear Vibrating String The 1-D Wave and Rod Equations Governed by Controls That Are Time-Dependent Only Controllability for Swimming Phenomenon A Basic 2-D Swimming Model The Well-Posedness of a 2-D Swimming Model Geometric Aspects of Controllability for a Swimming Phenomenon Local Controllability for a Swimming Model Global Controllability for a Rowing Swimming Model Multiplicative Controllability Properties of the Schrodinger Equation Multiplicative Controllability for the Schrödinger Equation 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 
650 |a Théorie de la commande 
650 |a Commande non linéaire 
650 |a Équations aux dérivées partielles 
650 |a Mathématiques 
650 |a Calcul des variations 
776 0 |0 144962683  |t Controllability of partial differential equations governed by multiplicative controls  |f Alexander Y. Khapalov  |c Heidelberg  |n Springer  |d 2010  |p 1 vol. (XV-284 p.)  |s Lecture notes in mathematics  |z 978-3-642-12412-9 
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