Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient

Partial Differential Equations

Steve Abbott, Lawrence C. Evans · The Mathematical Gazette · 1999 · 1.4K citations

Natural Sciences, Mathematics, Computational Geometry +15

Approximate controllability of the semilinear heat equation

Caroline Fabre, Jean-Pierre Puel · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1995 · 403 citations · Full text

Natural Sciences, Mechanical Engineering, Heat Transfer +10

Null and approximate controllability for weakly blowing up semilinear heat equations

Enrique Fernández‐Cara, Enrique Zuazua · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2000 · 382 citations · Full text

Natural Sciences, Physics, Dynamical Systems +13

The cost of approximate controllability for heat equations: the linear case

Enrique Fernández‐Cara, Enrique Zuazua · Advances in Differential Equations · 2000 · 282 citations · Full text

Natural Sciences, Mechanical Engineering, Cost-minimization Analysis +14

Carleman Inequalities for Parabolic Equations in Sobolev Spaces of Negative Order and Exact Controllability for Semilinear Parabolic Equations

O. Imanuvilov, Masahiro Yamamoto · Publications of the Research Institute for Mathematical Sciences · 2003 · 158 citations

Natural Sciences, Industrial Engineering, Dynamical Systems +11