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Personal profile

Fingerprint Dive into the research topics where Keiichi Kato is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 4 Similar Profiles
Analyticity Mathematics
Wave Packet Mathematics
Smoothing Effect Mathematics
Wave Front Mathematics
Evolution Operator Mathematics
Short-time Fourier Transform Mathematics
Nonlinear Equations Mathematics
Propagation of Singularities Mathematics

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Research Output 1995 2020

  • 349 Citations
  • 11 h-Index
  • 25 Article
Stationary Phase
Maximum Norm
Nonlinear Eigenvalue Problem
Bifurcation Diagram
Asymptotic Formula

Estimates on the modulation spaces for the Dirac equation with potential

Kato, K. & Naumkin, I., 1 May 2019, In : Revista Matematica Complutense. 32, 2, p. 305-325 21 p.

Research output: Contribution to journalArticle

Modulation Spaces
Dirac Equation
Dirac Operator
Estimate

Remark on characterization of wave front set by wave packet transform

Kato, K., Kobayashi, M. & Ito, S., 1 Jan 2017, In : Osaka Journal of Mathematics. 54, 2, p. 209-228 20 p.

Research output: Contribution to journalArticle

Wave Packet
Wave Front
Transform
Restriction
9 Citations (Scopus)

Local and global solvability and blow up for the drift-diffusion equation with the fractional dissipation in the critical space

Sugiyama, Y., Yamamoto, M. & Kato, K., 5 May 2015, In : Journal of Differential Equations. 258, 9, p. 2983-3010 28 p.

Research output: Contribution to journalArticle

Open Access
Drift-diffusion Equations
Local Solvability
Global Solvability
Local Existence
Global Existence
11 Citations (Scopus)

Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials

Kato, K., Kobayashi, M. & Ito, S., 15 Jan 2014, In : Journal of Functional Analysis. 266, 2, p. 733-753 21 p.

Research output: Contribution to journalArticle

Open Access
Modulation Spaces
Evolution Operator
Estimate
Framework