46 citations · 224 across the 37 of their papers we have counts for
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Essential self-adjointness of real principal type operators
Shu Nakamura, Kouichi Taira
We study the essential self-adjointness for real principal type differential operators. Unlike the elliptic case, we need geometric conditions even for operators on the Euclidean s…
Microlocal resolvent estimates, revisited
Shu Nakamura
Let be a Schrödinger type operator with long-range perturbation. We study the wave front set of the distribution kernel of , where is in the absolutely co…
Microlocal properties of scattering matrices
Shu Nakamura
We consider scattering theory for a pair of operators and on , where is a Riemannian manifold, is a multiplication operator on and is a…
Propagation of singularities for Schrödinger equations with modestly long range type potentials
Kazuki Horie, Shu Nakamura
In a previous paper by the second author, we discussed a characterization of the microlocal singularities for solutions to Schrödinger equations with long range type perturbations,…
Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds
Kenichi Ito, Shu Nakamura
Let be a scattering manifold, i.e., a Riemannian manifold with asymptotically conic structure, and let be a Schrödinger operator on . We can construct a natural time-dep…
Remarks on the Fundamental Solution to Schrödinger Equation with Variable Coefficients
Kenichi Ito, Shu Nakamura
We consider Schrödinger operators on with variable coefficients. Let be the free Schrödinger operator and we suppose is a "short-range" pertur…