5 citations · 9 across the 6 of their papers we have counts for
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A third order dispersive flow for closed curves into almost Hermitian manifolds
Hiroyuki Chihara, Eiji Onodera
We discuss a short-time existence theorem of solutions to the initial value problem for a third order dispersive flow for closed curves into a compact almost Hermitian manifold. Ou…
Schroedinger flow into almost Hermitian manifolds
Hiroyuki Chihara
We present a short-time existence theorem of solutions to the initial value problem for Schroedinger maps of a closed Riemannian manifold to a compact almost Hermitian manifold. Th…
Gain of analyticity for semilinear Schroedinger equations
Hiroyuki Chihara
We discuss gain of analyticity phenomenon of solutions to the initial value problem for semilinear Schroedinger equations with gauge invariant nonlinearity. We prove that if the in…
Resolvent estimates related with a class of dispersive equations
Hiroyuki Chihara
We present a simple proof of the resolvent estimates of elliptic Fourier multipliers on the Euclidean space, and apply them to the analysis of time-global and spatially-local smoot…
The initial value problem for a third order dispersive equation on the two-dimensional torus
Hiroyuki Chihara
We present the necessary and sufficient condition for the -well-posedness of the initial problem for a third order linear dispersive equation on the two dimensional torus. Bir…
Third order semilinear dispersive equations related to deep water waves
Hiroyuki Chihara
We present local existence theorem of the initial value problem for third order semilinear dispersive partial differential equations in two space dimensions. This type of equations…