Semibounded Nonlinear Evolution Equations with Application to the KdV Equations  

作　　者：Xiao-Ling Xiang, Chun-Xia Fan, Wei WeiDepartment of Mathematics, Guizhou University, Guiyang 550025, China 

出　　处：《Acta Mathematicae Applicatae Sinica》2003年第2期267-280,共14页应用数学学报（英文版）

基　　金：Supported by Committee of Science and Technology (No.(2002)3002), Guizhou,China.

摘　　要：Abstract Existence of solutions for semibounded nonlinear evolution equations is established. This gives more accurate estimate of solutions and conditions of existence are more easily validated. Our results are successfully applied to prove existence and uniqueness of solutions for some KdV type equations.Abstract Existence of solutions for semibounded nonlinear evolution equations is established. This gives more accurate estimate of solutions and conditions of existence are more easily validated. Our results are successfully applied to prove existence and uniqueness of solutions for some KdV type equations.

关 键 词：Keywords Semiboundedness admissible triplet Galerkin equation local Lipschitz continuity existence UNIQUENESS KdV equation. 

分 类 号：O175.2[理学—数学]