具有间断非线性项的拟线性抛物型方程(英)  

On Quasilinear Parabolic Equations with Discontinuous Nonlinearities

作　　者：刘振海[1] 

机构地区：[1]长沙电力学院数学系,湖南410077

出　　处：《应用数学》1998年第3期122-126,共5页Mathematica Applicata

摘　　要：本文研究具有间断非线性项的拟线性抛物型方程，利用Clarke广义梯度和伪单调算子理论证明了解的存在性．In this paper, we consider a quasilinear parabolic problem with a discontinuous nonmonotone nonlinearity. By means of Clarke's generalized gradient and pseudomonotone mapping theory,we show that there exists at least one solution of the problem.

关 键 词：抛物型方程 多值映照 拟线性 非线性项 

分 类 号：O175.26[理学—数学]