Global well-posedness for Cauchy problems of Zakharov-Kuznetsov equations on cylindrical spaces
Global well-posedness for Cauchy problems of Zakharov-Kuznetsov equations on cylindrical spaces
We study the global well-posedness of the Zakharov-Kuznetsov equation on cylindrical spaces. Our goal is to establish the existence of global-in-time solutions below the energy class. To prove the results, we adapt the I-method to extend the local solutions globally in time. The main tool in our argument is multilinear …