On well-posedness and wave operator for the gKdV equation
نویسندگان
چکیده
منابع مشابه
A Remark on Global Well-posedness below L for the Gkdv-3 Equation
The I-method in its first version as developed by Colliander et al. in [2] is applied to prove that the Cauchy-problem for the generalised Korteweg-de Vries equation of order three (gKdV-3) is globally well-posed for large real-valued data in the Sobolev space H(R → R), provided s > − 1 42 .
متن کاملSharp Local Well-posedness Results for the Nonlinear Wave Equation
This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension.
متن کاملGlobal Well-posedness for the Radial Defocusing Cubic Wave Equation on R and for Rough Data
We prove global well-posedness for the radial defocusing cubic wave equation
متن کاملGlobal Well-posedness for Solutions of Low Regularity to the Defocusing Cubic Wave Equation on R
We prove global well-posedness for the defocusing cubic wave equation
متن کاملOn the Well-posedness and Regularity of the Wave Equation with Variable Coefficients
An open-loop system of a multidimensional wave equation with variable coefficients, partial boundary Dirichlet control and collocated observation is considered. It is shown that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. The Riemannian geometry method is used in the proof of regularity and the feedthrough operator is explicitly computed. Mathematic...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2013
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2012.04.002