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math-ph2008★ 1 cited
Homogenization with large spatial random potential
Guillaume Bal
We consider the homogenization of parabolic equations with large spatially-dependent potentials modeled as Gaussian random fields. We derive the homogenized equations in the limit…
math-ph2008
Stability for time-dependent inverse transport
Guillaume Bal, Alexandre Jollivet
This paper concerns the reconstruction of the absorption and scattering parameters in a time-dependent linear transport equation from full knowledge of the albedo operator at the b…
math.AP2008
Small volume expansions for elliptic equations
Guillaume Bal, Olivier Pinaud
This paper analyzes the influence of general, small volume, inclusions on the trace at the domain's boundary of the solution to elliptic equations of the form $\nabla \cdot D^\eps…