On Carleman estimates for hyperbolic equations
By Oleg Yu. Imanuvilov. Asymptotic Analysis, 2002
118 citations recorded by the source corpus.
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 (W12(Q))*.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/5552a283cf1378d96a15beec486c82ef202e282e
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In Computational Theory and Mathematics
- Enrique Zuazua
- Sylvain Ervedoza
- Masahiro Yamamoto
- Xu Zhang
- Oleg Yu. Imanuvilov
- Lucie Baudouin
- Maya de Buhan
- Victor Isakov
In Control and Systems Engineering
- Sylvain Ervedoza
- Enrique Zuazua
- Xu Zhang
- Masahiro Yamamoto
- Victor Isakov
- Oleg Yu. Imanuvilov
- Lucie Baudouin
- Maya de Buhan
In Mathematical Physics
- Enrique Zuazua
- Sylvain Ervedoza
- Masahiro Yamamoto
- Xu Zhang
- Oleg Yu. Imanuvilov
- Lucie Baudouin
- Maya de Buhan
- Victor Isakov
Citations in the corpus
- Global Carleman Estimates for Waves and Applications (2011, methodology): “One can also read similar versions of global Carleman estimates for hyperbolic equations in [17, 20, 31].”
- Carleman estimates for parabolic equations and applications (2009, background): “See [75] for H−1 Carleman estimated for hyperbolic equations.”
- An inverse problem for the dynamical Lamé system with two sets of boundary data (2003, methodology): “Since the proof in [9] is quite complicated, we will give another, shorter proof.”
- On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials (2008, methodology): “We shall borrow some idea from [16], which consists in applying (2.”