SHAPE, VELOCITY, AND EXACT CONTROLLABILITY FOR THE WAVE EQUATION Article

Avdonin, S, Edward, J, Nurtazina, K. (2022). SHAPE, VELOCITY, AND EXACT CONTROLLABILITY FOR THE WAVE EQUATION . Journal of Optimization, Differential Equations and their Applications, 30(2), 122-140. 10.15421/142207

cited authors

  • Avdonin, S; Edward, J; Nurtazina, K

abstract

  • 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.

authors

publication date

  • January 1, 2022

published in

Digital Object Identifier (DOI)

start page

  • 122

end page

  • 140

volume

  • 30

issue

  • 2