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math.AP2012★ 2 cited
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…
math.AP2009★ 4 cited
Positive solutions of nonlinear problems involving the square root of the Laplacian
Xavier Cabre, Jinggang Tan
We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive so…