User profiles for T. Kato

Takashi Kato

The University of Tokyo
Verified email at chiral.tu-tokyo.ac.jp
Cited by 42246

[BOOK][B] Perturbation theory for linear operators

T Kato - 2013 - books.google.com
… may be regarded as a function from the set {n} of integers into X, we may consider a function
utu(t) defined for a real or complex variable t and taking values in X. The relation lim u (…

Remarks on the breakdown of smooth solutions for the 3-D Euler equations

JT Beale, T Kato, A Majda - Communications in Mathematical Physics, 1984 - Springer
… If tl > T, - To, we have then extended the original solution past time T,, contrary to the
choice of T,. … Kato, T.: Nonstationary flows of viscous and ideal fluids in N 3. J. …

Schrödinger operators with singular potentials

T Kato - Israel Journal of Mathematics, 1972 - Springer
… It may be noted that the Stummel-type condition (1.5) is usually introduced to define the
Friedrichs extension of T, but our aim here is more ambitious than that. 2. If m = 4, (C3') does not …

Functional liquid‐crystalline assemblies: self‐organized soft materials

T Kato, N Mizoshita, K Kishimoto - … Chemie International Edition, 2006 - Wiley Online Library
… Supramolecular main-chain liquid-crystalline networks of 5 and 6: at T i a reversible phase
transition occurs between nematic and isotropic phases as a result of the association and …

Corneal neovascularization

JH Chang, EE Gabison, T Kato… - Current opinion in …, 2001 - journals.lww.com
Corneal neovascularization (NV) is a sight-threatening condition usually associated with
inflammatory or infectious disorders of the ocular surface. It has been shown in the field of …

Mechanically induced luminescence changes in molecular assemblies

Y Sagara, T Kato - Nature chemistry, 2009 - nature.com
Altering the shape and properties of a material through external factors such as heat, light,
pressure, pH, electric or magnetic fields, or the introduction of a guest molecule, is an …

Nonlinear semigroups and evolution equations

T Kato - Journal of the Mathematical Society of Japan, 1967 - jstage.jst.go.jp
… ) are m-monotonic operators (see below), together with some smoothness condition for A(t)
as a function of t. We make no explicit assumptions on the continuity of the operators A(…

[BOOK][B] On the Navier-Stokes initial value problem. I

H Fujita, T Kato - 1963 - apps.dtic.mil
The initial value problem for the nonstationary Navier-Stokes equation is considered. New
results were obtained with the aid of various methods from modern functional analysis. The …

Nonstationary flows of viscous and ideal fluids in R3

T Kato - Journal of functional Analysis, 1972 - Elsevier
… evolution equation (see Kato-Fujita [2], Fujita-Kato [3], Kato [4]) du/dt + vAu = Fu + b(t)… ; X]
the set of all X-valued continuous functions on the closed interval [0, T], by AC[O, T; X] the set of …

Fractional powers of dissipative operators

T Kato - Journal of the Mathematical Society of Japan, 1961 - jstage.jst.go.jp
… form c5(t) associated with A(t) has constant domain and changes smoothly with t in a certain
sense. In particular it can be shown that u(t) is analytic if q5(t) and f (t) are analytic. In this …