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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… Expand

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… Expand

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… Expand

Interleukin‐6 (IL‐6) functions as an in vitro autocrine growth factor in renal cell carcinomas

- Shunji Miki, M. Iwano,
+6 authors 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,… Expand

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… Expand

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… Expand

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