Open AccessThe Global Existence and Uniqueness of the Classical Solution with the Periodic Initial Value Problem for One-Dimension Klein-Gordon-Zakharov Equations
Author(s) -
Cong Sun,
Lixia Li
Publication year - 2018
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2018/4820601
Subject(s) - uniqueness , mathematics , dimension (graph theory) , galerkin method , initial value problem , mathematical analysis , klein–gordon equation , value (mathematics) , pure mathematics , nonlinear system , physics , statistics , quantum mechanics
Through applying Galerkin method, we establish the approximating solution for one-dimension Klein-Gordon-Zakharov equations and obtain the local classical solution. By applying integral estimates, we also obtain the existence and uniqueness of the global classical solution of Klein-Gordon-Zakharov equations.