| 非线性拟抛物型方程的初边值问题周期边值问题与初值问题 |
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| 引用本文： | 杨志坚.非线性拟抛物型方程的初边值问题周期边值问题与初值问题[J].郑州大学学报(工学版),1992(3). |
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| 作者姓名： | 杨志坚 |
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| 作者单位： | 郑州工学院数力系 |
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| 摘 要： | 本文用 Galtrkin 方法和 Soboltv 型估计,研究了一类非线性拟抛物型方程.U_t—a_l(t)U_(xxt)—a_2(t)U_(xx)+f(x,t,U,U_x)的初值边值问题,周期边值问题和初值问题的古典解的存在性,唯一性和稳定性.
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| 关 键 词： | 拟抛物型方程 初值边值问题 算子 |
Initial-Boundary Value Problems and Periodic-Boundary Value Problems and Initial Value Problems for the Nonlinear Pseudo-Parablic Equations |
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| Yang Zhijian.Initial-Boundary Value Problems and Periodic-Boundary Value Problems and Initial Value Problems for the Nonlinear Pseudo-Parablic Equations[J].Journal of Zhengzhou University: Eng Sci,1992(3). |
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| Authors: | Yang Zhijian |
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| Affiliation: | Zhengzhou Institute of Technology |
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| Abstract: | In this paper,Using Galerkin method and soboler estimates,we discuss the existence, uniqueness and stability of the classical solutions of the first initial-boundary value prob- lems and periodic-boundary problems and initial value problems for the nonlinear pseudo-parabolic equationsU_t-a_1(t)U_(xx(?))-a_2(t)U_(xx)=f(x,t,U,U_x) |
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| Keywords: | pseudo-parabolic equation initial-boundary problem operator |
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