| 一类带阻尼项非线性抛物型方程的衰减性 |
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| 引用本文： | 李健平,汪全珍. 一类带阻尼项非线性抛物型方程的衰减性[J]. 阜阳师范学院学报(自然科学版), 2011, 28(3): 6-8 |
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| 作者姓名： | 李健平 汪全珍 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | 国家自然科学基金项目(10801001);安徽省自然科学基金项目(11040606M02)资助 |
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| 摘 要： | 在已有的一类非线性抛物方程基础上添加了阻尼项,讨论了一类带有阻尼项的非线性抛物型方程的衰减性,利用经典的Fourier分解方法,进一步证明了其解在L2范数下的衰减率为（1＋t）-4／n,其衰减率与线性热传导方程下的衰减率相同。
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| 关 键 词： | L2衰减 带阻尼项 弱解 非线性抛物方程 |
Decay rate for a class of the nonlinear parabolic equation with damping |
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| LI jian-ping,WANG quan-zhen. Decay rate for a class of the nonlinear parabolic equation with damping[J]. Journal of Fuyang Teachers College:Natural Science, 2011, 28(3): 6-8 |
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| Authors: | LI jian-ping WANG quan-zhen |
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| Affiliation: | 2(College of Mathematics and Sience,Anhui university,Hefei,Anhui,230039) |
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| Abstract: | Add a damping term on the base of a class of nonlinear parabolic equation,then we study the decay rate for the nonlinear parabolic equation with damping,Further,with the aid of the classic Fourier splitting methods,the solution decays in L2norms at(1+t)-n/4are proved.,which is the same as the solutions of the heat equation. |
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| Keywords: | L2decay with damping weak solution nonlinear parabolic equation |
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