Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time

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

Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions

David L. Russell · SIAM Review · 1978 · 1.1K citations

Natural Sciences, Mathematics, Differential Equations +16

Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds

Jeff Cheeger, M. Gromov, Michael E. Taylor · Journal of Differential Geometry · 1982 · 861 citations · Full text

Natural Sciences, Mathematics, Physics +14

Exact controllability theorems for linear parabolic equations in one space dimension

H. O. Fattorini, David L. Russell · Archive for Rational Mechanics and Analysis · 1971 · 432 citations

Natural Sciences, Mathematics, Differential Equations +14

On the behavior of the fundamental solution of the heat equation with variable coefficients

S. R. S. Varadhan · Communications on Pure and Applied Mathematics · 1967 · 365 citations

Natural Sciences, Physics, Differential Equations +12