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一类三维非线性广义Sine—Gordon型方程 被引量:3

A CLASS OF NONLINEAR GENERALINED SINE GORDON EQUATIONS
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摘要 本文用Galerkin方法研究了一类三维非线性广义Sine─Gordon型方程,证明了初边值问题整体广义解的存在性与唯一性. In the paper, the author has studied a class of nonlinear generalized Sine-Gordon equations, by using Galerkin method, proved the existence and uniqueness of global generalized solution to the initial boundary value problems.
作者 肖黎明
出处 《贵州师范大学学报(自然科学版)》 CAS 1995年第4期20-25,共6页 Journal of Guizhou Normal University:Natural Sciences
关键词 能量积分 非线性 加辽金法 广义 S-G型方程 Galerkin method Sine-Gordon equations Energy integral Sobolev imbedding theorems
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参考文献2

  • 1周毓麟,符鸿源.广义Sine-Gordon型非线性高阶双曲方程组[J]数学学报,1983(02).
  • 2[苏]拉迪任斯卡娅[Ладыженская,О·А·],[苏]乌拉利采娃(Уральдева,Н·Н·) 著,严子谦等.线性和拟线性椭圆型方程[M]科学出版社,1987.

同被引文献11

  • 1Josephson B D.Possible new effects in superconductive tunneling[J].Physics Letters,1962,1:251-253.
  • 2Teman R.Infinite-Dimensional Dynamical Systems in Mechanics and Physics[M].New York:Springer-Verlag,1988:15-26,80-113.
  • 3Zhu Zhi-wei,Lu Yong.The existence and Uniqueness of Solution for a Generalized Sine-Gordon Equation[J] Chinese Quarterly Journal of Mathematics,2000,15 (1):71-77.
  • 4BALL J M.Initial-boundary value problems for an extensible beam[J].J Math Anal Appl,1973,42:61-90.
  • 5JOSEPHSON B D.Possible new effects in superconductive tunneling. Physics Letters . 1962
  • 6ZHU Zhi-wei,LU Yong.The existence and uniqueness of solutions for a generalized Sine-Gordon equation. Chinese Quarterly Journal of Mathematics . 2000
  • 7Teman R.Infinite-Dimensional Dynamical Systems in Mechanics and Physics. . 1988
  • 8Lions JL,Magenes E.Non-Homogeneous Boundary Value Problems and Applications. . 1972
  • 9张建文,王旦霞,吴润衡.一类广义强阻尼Sine-Gordon方程的整体解[J].物理学报,2008,57(4):2021-2025. 被引量:12
  • 10林国广.非局部二维Swift-Hohenberg方程的惯性流形[J].云南大学学报(自然科学版),2009,31(4):334-340. 被引量:7

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