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math.AP2004
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…
math.AP2004★ 5 cited
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…