摘要
研究四阶非线性抛物型微分方程定态解的存在性,应用不动点方法证明解的存在性。在四阶抛物型方程中,最大值原理已经不再成立,使得最大模估计不易获得。
The existence of solutions for a steady-state fourth-order parabolic partial differential equation is devoted. Existences of solutions is obtained by the fixed point theorem. For the fourth-order parabolic equation, the maximum principle doesn't hold and it's difficult to get the maximum estimate.
出处
《科学技术与工程》
2009年第9期2403-2404,共2页
Science Technology and Engineering
关键词
存在性
四阶抛物
定态
existence fourth-order parabolic steady-state