摘要
研究了具有非线性边界条件和非线性源项的退化抛物型方程,并在满足一定假设前提下利用弱解的定义和传统的积分方法给出了弱解的比较原理,所得的结果把通常的比较原理推广到更宽的条件下.
We study a degenerate parabolic equation with a nonlinear boundary condition and a nonlinear source term, and comparison principle is given by using the definition of weak solution and integration way under some conditions, the results generalize the usual comparison principle for the more relaxed conditions.
出处
《延边大学学报(自然科学版)》
CAS
2012年第4期259-261,共3页
Journal of Yanbian University(Natural Science Edition)
关键词
弱解
退化抛物型方程
非线性边界条件
比较原理
weak solution
degenerate parabolic equation
nonlinear boundary conditions
comparison principle