SHAPE, VELOCITY, AND EXACT CONTROLLABILITY FOR THE WAVE EQUATION
Avdonin S. Edward J. Nurtazina K.
2022Oles Honchar Dnipro National University
Journal of Optimization, Differential Equations and their Applications
2022#30Issue 2122 - 140 pp.
A new method to prove exact controllability for the wave equation is demonstrated and discussed on several examples. The method of proof first uses a dynamical argument to prove shape controllability and velocity controllability, thereby solving their associated moment problems. This enables one to solve the moment problem associated to exact controllability.
Exact controllability , moment problem , shape controllability , velocity controllability , wave equation
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Department of Mathematics and Statistics, University of Alaska Fairbanks, Fairbanks, 99775, AK, United States
Department of Mathematics and Statistics, Florida International University, Miami, 33199, FL, United States
Faculty of Mechanics and Mathematics, Gumilyov Eurasian National University, 2 Satpayev Str., Astana, 010008, Kazakhstan
Department of Mathematics and Statistics
Department of Mathematics and Statistics
Faculty of Mechanics and Mathematics
10 лет помогаем публиковать статьи Международный издатель
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