| 具变指数非线性拟抛物方程弱解的存在性 |
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| 引用本文： | 郭金勇.具变指数非线性拟抛物方程弱解的存在性[J].数学的实践与认识,2012,42(12):222-229. |
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| 作者姓名： | 郭金勇 |
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| 作者单位： | 柳州师范高等专科学校数学与计算机科学系,广西柳州,545004 |
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| 摘 要： | 虑一类变指数的非线性拟抛物方程的初值问题.在一些初值的假定下,基于时间离散化方法构造逼近解.通过对逼近解的一致性估计,证明了弱解的存在性.
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| 关 键 词： | 变指数 非线性拟抛物方程 弱解 存在性 |
The Existence of Weak Solutions for a Nonlinear Pseudoparabolic Equation with Variable Exponent |
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| GUO Jin-yong.The Existence of Weak Solutions for a Nonlinear Pseudoparabolic Equation with Variable Exponent[J].Mathematics in Practice and Theory,2012,42(12):222-229. |
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| Authors: | GUO Jin-yong |
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| Institution: | GUO Jin-yong (Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou 545004,China) |
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| Abstract: | We consider an initial-boundary value problem for a class of nonlinear pseudoparabolic equation involving variable exponent.Under some assumptions on the initial value,we construct approximate solutions by using the time-discrete method.By means of uniform estimates on these approximate solutions,we establish the existence of weak solutions. |
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| Keywords: | variable exponent nonlinear pseudoparabolic equation weak solution existence |
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