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math.AP2011★ 4 cited
Unique continuation and approximate controllability for a degenerate parabolic equation
Piermarco Cannarsa, Jacques Tort, Masahiro Yamamoto
This paper studies unique continuation for weakly degenerate parabolic equations in one space dimension. A new Carleman estimate of local type is obtained to deduce that all soluti…
math.AP2011
Inverse boundary value problem for Schrödinger equation in two dimensions
Oleg Imanuvilov, Masahiro Yamamoto
We relax the regularity condition on potentials of the Schrödinger equation in uniqueness results on the inverse boundary value problem which were recently proved in [11] and [5].