Global well-posedness for the KP-I equation on the background of a non localized solution
نویسندگان
چکیده
We prove that the Cauchy problem for the KP-I equation is globally well-posed for initial data which are localized perturbations (of arbitrary size) of a non-localized (i.e. not decaying in all directions) traveling wave solution (e.g. the KdV line solitary wave or the Zaitsev solitary waves which are localized in x and y periodic or conversely).
منابع مشابه
Bilinear Space-time Estimates for Linearised Kp-type Equations on the Three-dimensional Torus with Applications
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