Well-posedness for a modified Zakharov system
نویسندگان
چکیده
منابع مشابه
Well-posedness for the 2d Modified Zakharov-kuznetsov Equation
We prove that the initial value problem for the two-dimensional modified ZakharovKuznetsov equation is locally well-posed for data in H(R), s > 3/4. Even though the critical space for this equation is L(R) we prove that well-posedness is not possible in such space. Global well-posedness and a sharp maximal function estimate are also established.
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In this paper, we study the existence and uniqueness of the global smooth solution for the initial value problem of generalized Zakharov equations in dimension two. By means of a priori integral estimates and Galerkin method, we first construct the existence of global solution with some conditions. Furthermore, we prove that the global solution is unique. c ©2017 All rights reserved.
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Local and global well-posedness results are established for the initial value problem associated to the 1D Zakharov-Rubenchik system. We show that our results are sharp in some situations by proving Ill-posedness results otherwise. The global results allow us to study the norm growth of solutions corresponding to the Schrödinger equation term. We use ideas recently introduced to study the class...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 2007
ISSN: 0385-4035
DOI: 10.14492/hokmj/1277472864