Solvability of the nonlinear Airy equation on a torus

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摘要 The solvability of the nonlinear Airy equation on a torus is studied. With the help of Bourgain抯 spaces, the existence of a global in time solution to a forced damped nonlinear Airy equation on the 1-dimensional torus is proved by deriving it from that of the local solution. The solvability of the nonlinear Airy equation on a torus is studied. With the help of Bourgain抯 spaces, the existence of a global in time solution to a forced damped nonlinear Airy equation on the 1-dimensional torus is proved by deriving it from that of the local solution.

作者张兴友 TANG Yan

机构地区 College of Mathematics and Sciences

出处《Journal of Chongqing University》 CAS 2003年第1期21-23,共3页 重庆大学学报（英文版）

基金 the Scientific Research Foundation for Returned Overseas Chinese Scholars under the State Education Ministry the Young Key Teachers' Foundation of Chongqing University.

关键词 nonlinear evolution equations Airy equation Bourgain's spaces

分类号 O175 [理学—基础数学]

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Journal of Chongqing University

2003年第1期

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Solvability of the nonlinear Airy equation on a torus

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