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math.AP2026
Exponential growth and decay estimates for eigenfunctions with complex eigenvalues
Kenichi Ito
We prove a priori exponential growth and decay estimates for locally square integrable eigenfunctions with complex eigenvalues of the non-self-adjoint Schrödinger operator. There a…
math.AP2011★ 1 cited
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…
math.AP2009★ 3 cited
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…