%0 Journal Article
%T 带有梯度超线性项抛物方程黏性解的比较原理<br>Comparison principles for viscosity solution of fully nonlinear parabolic equations with superlinear gradient nonlinearities
%A 王俊芳
%A 赵培浩&lt
%A br&gt
%A WANG Jun-fang
%A ZHAO Pei-hao
%J 山东大学学报（理学版）
%D 2018
%R 10.6040/j.issn.1671-9352.0.2017.341
%X 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。<br>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
%K 退化抛物方程
%K 超线性增长
%K 黏性解
%K 单调系统
%K 比较原理
%K &lt
%K br&gt
%K degenerate parabolic equations
%K viscosity solution
%K comparison principle
%K monotone system
%K superlinear growth
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.341