Third order semilinear dispersive equations related to deep water waves
Analysis of PDEs
2007-05-23 v2 Classical Analysis and ODEs
Abstract
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 arises in the study of gravity wave of deep water, and cannot be solved by the classical energy method. To solve the initial value problem, we make full use of pseudodifferential operators with nonsmooth coefficients.
Cite
@article{arxiv.math/0404005,
title = {Third order semilinear dispersive equations related to deep water waves},
author = {Hiroyuki Chihara},
journal= {arXiv preprint arXiv:math/0404005},
year = {2007}
}
Comments
12 papes, no figure