| 蒋飞达,刘芳,杨孝平.含无穷拉普拉斯算子的渗流问题的李普希兹估计[J].数学年刊A辑,2020,41(2):201~212 |
| 含无穷拉普拉斯算子的渗流问题的李普希兹估计 |
| Lipschitz Estimates for Solutions to a Porous Medium Problem Involving the Infinity Laplacian |
| Received:August 26, 2017 |
| DOI：10.16205/j.cnki.cama.2020.0014 |
| 中文关键词: 李普希兹估计, 无穷拉普拉斯方程, 渗流问题, 粘性解 |
| 英文关键词:Lipschitz estimate, Infinity Laplace equation, Porous medium, Viscosity solution |
| 基金项目:国家自然科学基金 (No.\,11771214, No.\,11501292, No.\,11531005) |
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| 中文摘要: |
| 本文研究含无穷拉普拉斯算子的渗流问题. 运用改进的Bernstein方法和光滑逼近,分别建立了该问题严格正粘性解和非负粘性解关于空间变量的李普希兹估计. |
| 英文摘要: |
| In this paper, the authors study an infinity Laplace equation arising in porous medium problem. Lipschitz estimates in space for both the strictly positive viscosity solutions and the non-negative viscosity solutions are established via an improved Bernstein argument and smooth approximations. |
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