Concepedia

Exact controllability for a one-dimensional wave equation in non-cylindrical domains

Lizhi Cui, Xu Liu, Hang Gao

Journal of Mathematical Analysis and Applications · 2013 · 46 citations · 11 references

Concepts

Natural SciencesMathematicsDifferential EquationsDynamical SystemsFluid DynamicsBoundary ConditionsBoundary-value ProblemsControl TheoryMoving Boundary ProblemsNonlinear DynamicsPartial Differential EquationsControllabilityControllability AnalysisControllability Of Partial Differential EquationsInitial Boundary ConditionsNonlinear ControllabilityParabolic Boundary-value ProblemsWave Equations

References

11

Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary

Claude Bardos, Gilles Lebeau, Jeffrey Rauch · SIAM Journal on Control and Optimization · 1992 · 1.5K citations

Natural Sciences, Physics, Dynamical Systems +16

Exact Controllability, Stabilization and Perturbations for Distributed Systems

J. L. Lions · SIAM Review · 1988 · 1.1K citations

Natural Sciences, Mathematics, Systems Engineering +17

On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients

Peng‐Fei Yao · SIAM Journal on Control and Optimization · 1999 · 264 citations

Natural Sciences, Mathematics, Differential Equations +16

Exact controllability for semilinear wave equations in one space dimension

Enrique Zuazua · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 1993 · 230 citations · Full text

Natural Sciences, Mathematics, Differential Equations +15

Exact Controllability for Multidimensional Semilinear Hyperbolic Equations

Xiaoyu Fu, Jiongmin Yong, Xu Zhang · SIAM Journal on Control and Optimization · 2007 · 117 citations · Full text

Natural Sciences, Mathematics, Differential Equations +16