Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation
From MaRDI portal
Publication:1682904
DOI10.1134/S0965542517030071zbMath1381.49018OpenAlexW2613555248MaRDI QIDQ1682904
Publication date: 6 December 2017
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542517030071
Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Wave equation (35L05) Weak solutions to PDEs (35D30)
Cites Work
- Unnamed Item
- Unnamed Item
- Approximate solution to a time optimal boundary control problem for the wave equation
- Boundary control problem for the one-dimensional Klein-Gordon-Fock equation with a variable coefficient: the case of control by displacements at two endpoints
- Threshold optimization in observability inequality for the wave equation with homogeneous Robin-type boundary condition
- Continuous invertibility of a boundary control operator for the wave equation on subcritical intervals in classes of weak generalized solutions
- A stable method for solving linear equations with nonuniformly perturbed operator
- The control of string vibrations in the class of generalized solutions in \(L_2\)
- Observability inequality for a wave equation with elastic fastening in the case of critical time interval
- Problems of two-sided boundary control for the wave equation on subcritical intervals in classes of strong generalized solutions
- Constructive observability inequalities for weak generalized solutions of the wave equation with elastic restraint
- Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation
This page was built for publication: Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation