Null Controllability in Unbounded Domains for the Semilinear Heat Equation with Nonlinearities Involving Gradient Terms

Approximate controllability of the semilinear heat equation

Caroline Fabre, Jean-Pierre Puel · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 1995 · 397 citations

Bounded Domain ω, Interior Control, Parabolic Equation +3

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 · 377 citations · Full text

A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations

David L. Russell · Studies in Applied Mathematics · 1973 · 331 citations

Fourier Transform, Finite Time, Hyperbolic Conservation Law +5

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

Enrique Fernández‐Cara, Enrique Zuazua · Advances in Differential Equations · 2000 · 277 citations · Full text

Numerical Analysis, Parabolic Equations, Engineering +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 · 154 citations

Elliptic Equation, Parabolic Equations, Engineering +11