Mobile point sensors and actuators in the controllability theory of partial differential equations

Front Matter ....Pages i-xvi
 Introduction  (Alexander Y. Khapalov)....Pages 1-10
Front Matter ....Pages 11-11
 Continuous Observability of the Heat Equation Under a Single Mobile Point Sensor  (Alexander Y. Khapalov)....Pages 13-27
 Continuous Observability of Second-Order Parabolic Equations Under Degenerate Mobile Sensors  (Alexander Y. Khapalov)....Pages 29-37
Front Matter ....Pages 39-39
 Behavior of Solutions of the Semilinear Heat Equation in Vanishing Time and Controllability  (Alexander Y. Khapalov)....Pages 41-62
 Controllability of the Semilinear Heat Equation with a Sublinear Term and a Degenerate Actuator  (Alexander Y. Khapalov)....Pages 63-76
 Controllability of the Semilinear Reaction–Diffusion Equation with a Degenerate Actuator  (Alexander Y. Khapalov)....Pages 77-95
 Semilinear Parabolic Equations: Mobile Point Controls Versus Locally Distributed Ones  (Alexander Y. Khapalov)....Pages 97-120
Front Matter ....Pages 121-121
 Degenerate Sensors in Source Localization and Sensor Placement Problems  (Alexander Y. Khapalov)....Pages 123-143
Front Matter ....Pages 145-145
 Continuous Observability of Hyperbolic Equations under Degenerate Sensors  (Alexander Y. Khapalov)....Pages 147-162
 Controllability of the Wave Equation Governed by Mobile Point Controls  (Alexander Y. Khapalov)....Pages 163-182
Front Matter ....Pages 183-183
 Exponential Decay for the Wave Equation Equipped with a Point Damping Device  (Alexander Y. Khapalov)....Pages 185-201
 A Vibrating String with Shuttle-Like Point Dampers and Related Observability Properties  (Alexander Y. Khapalov)....Pages 203-222
Back Matter ....Pages 223-233