| 一类非线性抛物型方程反系数问题拟解的存在性 |
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| 引用本文： | 肖翠娥.一类非线性抛物型方程反系数问题拟解的存在性[J].湖南城市学院学报(自然科学版),2011,20(3):38-40. |
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| 作者姓名： | 肖翠娥 |
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| 作者单位： | 湖南城市学院数学与计算科学学院,湖南益阳,413000 |
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| 基金项目： | 湖南省科学计划科研基金资助项目 |
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| 摘 要： | 研究了一类非线性抛物型方程反系数问题,证明了正问题的解对系数的连续依赖性,在合适的容许集中得到了反系数问题拟解的存在性.
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| 关 键 词： | 抛物型方程 反系数问题 拟解 存在性 |
An Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations |
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| XIAO Cui-e.An Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations[J].Journal of Hunan City University:Natural Science,2011,20(3):38-40. |
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| Authors: | XIAO Cui-e |
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| Institution: | XIAO Cui-e(School of Mathematics and Computation Sciences,Hunan City University,Yiyang,Hunan 413000,China) |
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| Abstract: | This paper is devoted to a class of inverse problems for a nonlinear parabolic differential equation.It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence.Based on this result the existence of a quasisolution of the inverse problem is obtained in the appropriate class of admissible coefficients. |
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| Keywords: | nonlinear parabolic equation inverse coefficient problem quasi-solution existence |
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