#### Filter Results:

- Full text PDF available (4)

#### Publication Year

2013

2017

- This year (1)
- Last 5 years (4)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Olivier Poisson
- 2016

We consider the heat equation ∂ty − div(c∇y) = H with a discontinuous coefficient in three connected situations. We give uniqueness and stability results for the diffusion coefficient c(·) in the main case from measurements of the solution on an arbitrary part of the boundary and at a fixed time in the whole spatial domain. The diffusion coefficient is… (More)

This work deals with an inverse boundary value problem arising from the equation of heat conduction. Mathematical theory and algorithm is described in dimensions 1–3 for probing the discontinuous part of the conductivity from local temperature and heat flow measurements at the boundary. The approach is based on the use of complex spherical waves, and no… (More)

- Olivier Poisson
- 2016

We consider the heat equation with a diffusion coefficient that is discontinuous at an interface. We give global Carleman estimates for solutions of this equation, even if the jump of the coefficient across the interface has not a constant sign. AMS classification scheme numbers: 35K05, 35K55, 35R05, 35R30

- Patricia Gaitan, Hiroshi Isozaki, Olivier Poisson, Samuli Siltanen, Janne P. Tamminen
- SIAM J. Math. Analysis
- 2013

An inverse boundary value problem for the heat equation is considered on the interval (0, 1), where the heat conductivity γ(t, x) is piecewise constant and the point of discontinuity depends on time: γ(t, x) = k2 for 0 < x < s(t) and γ(t, x) = 1 for s(t) < x < 1. It is shown that k and s(t) on the time interval [0, T ] are determined from the partial… (More)

- ‹
- 1
- ›