Concepedia

On Carleman estimates for hyperbolic equations

Oleg Imanuvilov

Asymptotic Analysis · 2002 · 98 citations · 15 references

DOI

Concepts

Abstract

We prove a Carleman inequality for the second order hyperbolic equation in the cylinder Q with the norm of right‐hand side taken in the space (W 1 2 (Q)) * .

References

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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

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