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Semibounded Nonlinear Evolution Equations with Application to the KdV Equations
Authors:Email author" target="_blank">Xiao-Ling?XiangEmail author  Chun-Xia?Fan  Wei?Wei
Institution:(1) Department of Mathematics, Guizhou University, Guiyang 550025, China (E-mail: xxl1943@yahoo.com), CN
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.
Keywords:Semiboundedness  admissible triplet  Galerkin equation  local Lipschitz continuity  existence  uniqueness  KdV equation  
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