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Author:   Alexander Y. Khapalov
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   Softcover reprint of the original 1st ed. 2017
Weight:   0.454kg
ISBN:  

9783319868592

ISBN 10:   3319868594
Pages:   233
Publication Date:   11 August 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Introduction.- Part I: 2. Continuous observability of the heat equation under a single mobile point sensor.- 3. Continuous observability of the 2-nd order paragolic equations under degenerate mobile sensors.- Part II: 4. Behavior of solutions of the semilinear heat equation in vanishing time and controllability.- 5. Controllability of the semiliniear heat equation with sublinear term and degenerate actuator.- 6. Controllability of the semilinear reaction-diffusion equation with degenerate actuator.- 7. Semilinear parabolic equations: Mobile point controls vs the locally distributed ones.- Part III: 8. Degenerate sensors in source localization and sensor placement problems.- Part IV: 9. Continuous observability of hyperbolic equations under degenerate sensors.- 10. Controllability of the wave equation governed by mobile point controls.- Part V: 11. Exponential decay for the wave equation equipped with a point damping device.- 12. A vibrating string with shuttle-like point dampers andrelated observability properties.- References. 

Reviews

The monograph under review constitutes an extremely valuable contribution to the research related to pointwise sensors and actuators, both static and mobile. It has been written by a renowned expert in this extremely challenging area. ... it is accessible to graduate students in applied mathematics, engineering and physics. Due to mathematical rigor, its reading is also recommended to more advance practitioners who aim at implementing control or observation strategies using mobile sensors or actuators. (Dariusz Ucinski, Mathematical reviews, September, 2018)

Author Information

Alexander Y. Khapalov is a professor in the Department of Mathematics at Washington State University. 

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