| 一类多维非线性拟抛物方程的初边值问题 |
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| 引用本文： | 刘亚成,施久玉.一类多维非线性拟抛物方程的初边值问题[J].应用数学,1995,8(4):419-423. |
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| 作者姓名： | 刘亚成 施久玉 |
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| 作者单位： | 哈尔滨船舶工程学院，哈尔滨船舶工程学院，哈尔滨船舶工程学院 哈尔滨 150001，哈尔滨 150001，哈尔滨 150001 |
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| 摘 要： | 本文将二阶线性椭圆方程的已知结果与压缩映像原理结合研究任意维数的非线性拟抛物方程的初边值问题，讨论了解的光滑性渐近性质与ｂｌｏｗ－ｕｐ，推广了很多已知结果。
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| 关 键 词： | 非线性 拟抛物型方程 初边值问题 |
Initial Boundary Value Problem for a Class of Multidimensional Nonlinear Pseudoparabolic Equations |
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| Liu Yacheng Shi Jiuyu Yu Tao.Initial Boundary Value Problem for a Class of Multidimensional Nonlinear Pseudoparabolic Equations[J].Mathematica Applicata,1995,8(4):419-423. |
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| Authors: | Liu Yacheng Shi Jiuyu Yu Tao |
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| Abstract: | In this paper,by combining the known results of the linear elliptic equation of second order with the contraction mapping principle,we have studied the initial boundary value problem of the nonlinear pseudoparabolic equations in arbitrary dimensions
Under the conditions (H1) - (H4),we obtain the existence and uniqueness of the classical solution u(x,t) C1 (0,T]iC2 a). Moreover the smoothness,asymptotic behavior and blow-up of solution are discussed,so many known results are generalized. |
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| Keywords: | Multidimension Nonlinear Pseudoparabolic equation Initial boundary value |
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