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具双曲动力边界的Laplace方程解的爆破 被引量:2

Blow-up for Laplace equation with dynamical boundary conditions of hyperbolic type
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摘要 讨论了具非线性双曲动力边界条件的Laplace方程解的爆破.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,利用凸性方法得到了解的爆破性. The blow-up for Laplace equation with dynamical boundary condition is considered . method , the blow-up of the solution is proved if the boundary is semilinear dynamical boundary perbolic type and the initial energy is negative. By the convexity conditions of hyperbolic type and the initial energy is negative.
出处 《南阳师范学院学报》 CAS 2007年第6期9-11,共3页 Journal of Nanyang Normal University
基金 河南省自然科学基金(0611053300) 河南省中青年骨干教帅基金 河南省教育厅基础科学基金(200510463024 2004110003)
关键词 LAPLACE方程 动力边界条件 凸性方法 爆破 Laplace equation dynamical boundary condition convexity blow-up
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