ITO, Kenichi

Associate Professor
Linear Partial Differential Equations
Research interests
Spectral and scattering theory for the Schrödinger operator
Current research

I am interested in how the geometry of space influences solutions to PDEs. I am studying spectral and scattering theory for the Schröodinger operators on non-compact manifolds and infinite graphs. It is interesting that a method invented to overcome a geometric difficulty has found applications to some problems in the Euclidean space.

Selected publications
  1. K. Ito, A. Jensen, Resolvent expansion for the Schrödinger operator on a graph with infinite rays, to appear in J. Math. Anal. Appl.
  2. K. Ito, A. Jensen, A complete classification of threshold properties for one-dimensional discrete Schrödinger operators, Rev. Math. Phys. 27, (2015), 1550002 (45 pages).
  3. K. Ito, E. Skibsted, Absence of embedded eigenvalues for Riemannian Laplacians, Adv. Math., 258 (2013), 945-962.
  4. K. Ito, S. Nakamura, Microlocal properties of scattering matrices for Schrödinger equations on scattering manifolds, Analysis & PDE, 6-2 (2013), 257-286.
  5. K. Ito, E. Skibsted, Scattering theory for Riemannian Laplacians, J. Funct. Anal., 264 (2013), 1929-1974.
  6. K. Ito, S. Nakamura, Remarks on the Fundamental Solution to Schrödinger Equation with Variable Coefficients, Ann. Inst. Fourier, 62 no. 3 (2012), 1091-1121.

The Mathematical Society of Japan

Hukuhara Prize 2015, Division of Functional Equations, Mathematical Society of Japan