| 一类非线性抛物方程Cauchy问题解的逼近性质 |
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| 引用本文： | 陈美珍,潘佳庆.一类非线性抛物方程Cauchy问题解的逼近性质[J].集美大学学报(自然科学版),2013,0(6):476-480. |
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| 作者姓名： | 陈美珍 潘佳庆 |
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| 作者单位： | (集美大学理学院,福建 厦门 361021) |
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| 摘 要： | ］利用基本解与初值的卷积来构造非线性方程的解, 用卷积结果来逼近其真解, 并运用Holder不等式和Taylor展开式给出了卷积结果与真解之间的误差
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| 关 键 词： | 源型解 卷积 误差估计 |
The Approximation Properties of Solutions to a Class of Nonlinear Parabolic Equation with the Cauchy Problem |
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| CHEN Mei-zhen,PAN Jia-qing.The Approximation Properties of Solutions to a Class of Nonlinear Parabolic Equation with the Cauchy Problem[J].the Editorial Board of Jimei University(Natural Science),2013,0(6):476-480. |
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| Authors: | CHEN Mei-zhen PAN Jia-qing |
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| Institution: | (School of Science,Jimei University,Xiamen 361021, China) |
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| Abstract: | The approximation properties of solutions of nonlinear parabolic equation with an approximation solution constructed by convolution with basic solution and initial value were discussed.Moreover,the error estimate between approximation solution and the real one was given by H older inequality and Taylor expansion. |
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| Keywords: | source type solution convolution error estimate |
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