50 citations · 82 across the 14 of their papers we have counts for
18 papers
Boundary Control for Transport Equations
Guillaume Bal, Alexandre Jollivet
This paper considers two types of boundary control problems for linear transport equations. The first one shows that transport solutions on a subdomain of a domain X can be control…
Convexity properties of the difference over the real axis between the Steklov zeta functions of a smooth planar domain with perimeter and of the unit disk
Alexandre Jollivet
We consider the zeta function for the Dirichlet-to-Neumann operator of a simply connected planar domain bounded by a smooth closed curve of perimeter . We prove that…
An estimate for the Steklov zeta function of a planar domain derived from a first variation formula
Alexandre Jollivet, Vladimir Sharafutdinov
We consider the Steklov zeta function of a smooth bounded simply connected planar domain R 2 of perimeter 2. We provide a first variation formula for $…
Generalized stability estimates in inverse transport theory
Guillaume Bal, Alexandre Jollivet
Inverse transport theory concerns the reconstruction of the absorption and scattering coefficients in a transport equation from knowledge of the albedo operator, which models all p…
Steklov zeta-invariants and a compactness theorem for isospectral families of planar domains
Alexandre Jollivet, Vladimir Sharafutdinov
The inverse problem of recovering a smooth simply connected multisheet planar domain from its Steklov spectrum is equivalent to the problem of determination, up to a gauge transfor…
An inequality for the zeta function of a planar domain
Alexandre Jollivet, Vladimir Sharafutdinov
We consider the zeta function for the Dirichlet-to-Neumann operator of a simply connected planar domain bounded by a smooth closed curve.We prove non-negativeness and gr…