| 带有梯度超线性项抛物方程黏性解的比较原理 |
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| 引用本文： | 王俊芳,赵培浩.带有梯度超线性项抛物方程黏性解的比较原理[J].山东大学学报(理学版),2018,53(8):77-83. |
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| 作者姓名： | 王俊芳 赵培浩 |
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| 作者单位： | 兰州大学数学与统计学院, 甘肃 兰州 730000 |
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| 基金项目： | 国家自然科学基金资助项目(11471147) |
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| 摘 要： | 研究梯度具有超线性增长的完全非线性抛物方程问题,证明了具有超线性增长的半连续黏性上下解的比较原理的存在,并且把此结果延伸到单调抛物系统中。
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| 关 键 词： | 退化抛物方程 超线性增长 黏性解 单调系统 比较原理 |
| 收稿时间： | 2017-06-30 |
Comparison principles for viscosity solution of fully nonlinear parabolic equations with superlinear gradient nonlinearities |
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| WANG Jun-fang,ZHAO Pei-hao.Comparison principles for viscosity solution of fully nonlinear parabolic equations with superlinear gradient nonlinearities[J].Journal of Shandong University,2018,53(8):77-83. |
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| Authors: | WANG Jun-fang ZHAO Pei-hao |
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| Institution: | School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu, China |
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| Abstract: | A problem of fully nonlinear degenerate parabolic partial differential equations with a superlinear gradient nonlinearity is studied. A comparison result is proved between semicontinuous viscosity subsolutions and supersolutions having superlinear growth. We extend our result to monotone systems of parabolic equations. |
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| Keywords: | degenerate parabolic equations viscosity solution comparison principle monotone system superlinear growth |
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