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拟线性椭圆方程的动力边界问题解的不存在性

Nonexistence of Solutions to the Quasilinear Elliptic Equation with Dynamic Boundary Condition
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摘要 讨论了具有双曲动力边界的拟线性椭圆方程解的不存在性。在边界条件为半线性双曲型且初始能量为负及边界源项满足一定条件下,采取了不同于特征函数方法的凸性方法得到了解的不存在性性。 This paper discusses the nonexistence of solution to dynamic boundary condition for the quasilinear elliptic equation. It em- ploys the concavity method, which is different from the characteristic functions, to elicit the nonexistence of solutions when the boundary conditions of being semilinear hyperbolic, negative initial energy and boundary source term are met.
出处 《南京工业职业技术学院学报》 2012年第4期57-59,共3页 Journal of Nanjing Institute of Industry Technology
基金 南京工业职业技术学院2011年院级重点科研基金项目(编号:YK12-07-02)
关键词 椭圆方程 动力边界条件 凸性方法 不存在性 quasilinear elliptic equation dynamic boundary condition concavity method nonexistence
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  • 1袁德有,呼青英.具双曲动力边界的Laplace方程解的爆破[J].南阳师范学院学报,2007,6(6):9-11. 被引量:2
  • 2Friedman A, Shinbrot M. The initial value problem for the linearized equations of water waves [ J ]. J Math Mech,1968,17:107 - 180.
  • 3Gariov RM. On the linear theory of gravity waves [ J ]. Arch Rational Mech Anal. 1967,24:352 - 362.
  • 4Hintermann T. Evolution equations with dynamical boundaiy conditions [ J ]. Proceed Royal Soc Edinburgh,1989,113A: 43-60.
  • 5Kirane M. Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type [J]. Hokbaido Math J, 1992,21:221 -229.
  • 6M Fila M, Quittner P. Global solutions of the Laplace equation with a nonlinear dynamical boundary conditions [ J ]. Math Appl Sci, 1997,20:1325 - 1331.
  • 7Amann H, File M. A Fujita-type theorem for the Laplace equations with a dynamical boundaiy conditions [ J ]. Acta Math Univ Comenianae, 1997,44(2):321 -328.
  • 8Lions JL. Quelques methodes resolutions des problemes aux limites nonlineaires [ M ]. Dunod, Paris, 1969.
  • 9Levine HA. Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Puu = - Au + F(u) [J]. Trans Amer Math Soc,1974, 192:1 -21.
  • 10Levine HA, Smith RA. A potential well theory for the heat equation with a nonlinear boundary condition [J]. Math Meth Appl Sci,1987, 9:127 -136.

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