关于具有部分边界值条件的演化拉普拉斯方程。
On the evolutionary -Laplacian equation with a partial boundary value condition.
作者信息
Zhan Huashui
机构信息
School of Applied Mathematics, Xiamen University of Technology, Xiamen, China.
出版信息
J Inequal Appl. 2018;2018(1):227. doi: 10.1186/s13660-018-1820-x. Epub 2018 Aug 31.
Abstract
Consider the equation where Ω is a bounded domain, is the distance function from the boundary Ω. Since the nonlinearity, the boundary value condition cannot be portrayed by the Fichera function. If , a partial boundary value condition is portrayed by a new way, the stability of the weak solutions is proved by this partial boundary value condition. If , the stability of the weak solutions may be proved independent of the boundary value condition.
摘要
考虑方程，其中Ω是有界区域，是到边界Ω的距离函数。由于非线性，边界值条件不能由菲切拉函数来刻画。如果，一种部分边界值条件以新的方式被刻画，通过这种部分边界值条件证明了弱解的稳定性。如果，弱解的稳定性可能独立于边界值条件被证明。
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本文引用的文献
1
The uniqueness of a nonlinear diffusion equation related to the -Laplacian.一个与 -拉普拉斯算子相关的非线性扩散方程的独特性。
J Inequal Appl. 2018;2018(1):7. doi: 10.1186/s13660-017-1596-4. Epub 2018 Jan 5.
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