2 citations · 2 across the 4 of their papers we have counts for
4 papers
Higher order expansion for the probabilistic local well-posedness theory for a cubic nonlinear Schrödinger equation
Jean-Baptiste Casteras, Juraj Foldes, Gennady Uraltsev
In this paper, we study the probabilistic local well-posedness of the cubic Schrödinger equation (cubic NLS): \[ (i\partial_{t} + Δ) u = \pm |u|^{2} u \text{ on } [0,T) \times \mat…
Trivariate distribution of sticky Brownian motion
Jean-Baptiste Casteras, Léonard Monsaingeon
In this short note we derive a closed form for the trivariate distribution (position, local time at the origin, and positive occupation time) of the one-dimensional sticky Brownian…
On the asymptotic Plateau's problem for CMC hypersurfaces on rank 1 symmetric spaces of noncompact type
Jean-Baptiste Casteras, Jaime Ripoll
Let be a Hadamard manifold with curvature bounded above by a negative constant , satisfying the "strict convexity condition", and assume that admits a "helicoidal" one-…
Quantitative uniqueness for Schrodinger operator with regular potentials
Laurent Bakri, Jean-Baptiste Casteras
We give a sharp upper bound on the vanishing order of solutions to Schrodinger equation with C^1 electric and magnetic potentials on a compact smooth manifold. Our method is based…