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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Kenichi Sakamoto, Masahiro Yamamoto
- Mathematics
- 1 October 2011
Lipschitz stability in inverse parabolic problems by the Carleman estimate
- O. Imanuvilov, Masahiro Yamamoto
- Mathematics
- 1 October 1998
We consider a system with a suitable boundary condition, where is a bounded domain, is a uniformly elliptic operator of the second order whose coefficients are suitably regular for , is fixed, and a…
Carleman estimates for parabolic equations and applications
- Masahiro Yamamoto
- Mathematics
- 1 December 2009
In this review, concerning parabolic equations, we give self-contained descriptions on derivations of Carleman estimates; methods for applications of the Carleman estimates to estimates of solutions…
Uniqueness and stability in multidimensional hyperbolic inverse problems
- Masahiro Yamamoto
- Mathematics
- 1999
GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- O. Imanuvilov, Masahiro Yamamoto
- Mathematics
- 30 June 2001
We consider an inverse problem of determining p(x), x ∈ Ω in (∂2 u/∂t 2)(x, t) − Δu(x, t) − p(x)u(x, t) = 0 in Ω × (0, T) and (∂u/∂ν)|∂Ω×(0, T) = 0 with given u(·, 0) and (∂u/∂t)(·, 0). Here Ω ⊂ R n…
Interleukin‐6 (IL‐6) functions as an in vitro autocrine growth factor in renal cell carcinomas
- Shunji Miki, M. Iwano, T. Kishimoto
- Biology, MedicineFEBS letters
- 3 July 1989
Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- M. Bellassoued, Masahiro Yamamoto
- Mathematics
- 25 November 2017
The Calderón problem with partial data in two dimensions
- O. Imanuvilov, G. Uhlmann, Masahiro Yamamoto
- Mathematics
- 1 September 2010
We prove for a two dimensional bounded domain that the Cauchy data for the Schrodinger equation measured on an arbitrary open subset of the boundary determines uniquely the potential. This implies,…
Determination of a coefficient in an acoustic equation with a single measurement
- O. Imanuvilov, Masahiro Yamamoto
- Mathematics
- 1 February 2003
For the solution u(p) = u(p)(t, x) to ∂t2 u(t, x) − div(p(x)∇u(t, x)) = 0 in (0, T) × Ω with given u|(0,T)×∂Ω, u(0, ·) and ∂t u(0, ·), we consider an inverse problem concerning the determination of…
Global Lipschitz stability in an inverse hyperbolic problem by interior observations
- O. Imanuvilov, Masahiro Yamamoto
- Mathematics
- 1 August 2001
For the solution u(p) = u(p)(x,t) to ∂t2u(x,t)-Δu(x,t)-p(x)u(x,t) = 0 in Ω×(0,T) and (∂u/∂ν)|∂Ω×(0,T) = 0 with given u(,0) and ∂tu(,0), we consider an inverse problem of determining p(x), xΩ, from…
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