一类拟线性抛物型方程弱解的存在性及其有界性证明  

Existence and Boundedness of Weak Solutions for A Class of Quasilinear Parabolic Equation

作　　者：旷雨阳[1] 王东[1] 

机构地区：[1]贵州省安顺学院数理学院,安顺561000

出　　处：《科技通报》2016年第1期31-34,共4页Bulletin of Science and Technology

摘　　要：在一定有关假设条件下,主要讨论一类带有初边值条件的拟线性抛物型方程的弱解存在性问题及其解有界性问题,利用单调算子理论证明拟线性抛物型方程的初边值条件问题的弱解存在性定理,然后在弱解存在性条件下证明其解的有界性问题。In some relevant assumptions, we consider the existence and the boundedness of weak solutions for a class of quasilinear parabolic equations with initial and boundary conditions,using the theory of monotone operators condition that prove existence theorem for weak solutions of Quasilinear Parabolic Equations with initial and boundary values, and then the existence of weak solution is proved under the condition that prove the boundedness of Solutions.

关 键 词：拟线性抛物型方程 弱解 存在性 有界性 

分 类 号：O175.2[理学—数学]