非自治退化抛物方程柯西问题熵解的存在性  

Existence of the Entropy Solutions to Cauchy Problem for Autonomous Degenerate Parabolic Equation

作　　者：郝兴文[1] 

机构地区：[1]潍坊学院,山东潍坊261061

出　　处：《潍坊学院学报》2011年第6期20-22,共3页Journal of Weifang University

基　　金：国家自然科学基金资助项目(10571120);潍坊学院博士基金项目(2011BS11)

摘　　要：非自治的二阶退化抛物型方程是物理、金融中常见的数学模型。本文将利用粘性消去法,证明这类方程的柯西问题熵解的存在性。Second order degenerate parabolic equation models many phenomenons arising in physics and financial decision etc. In this paper, existence of entropy solution to caucby problem is obtained by the a prior estimates of the smooth solutions to the viscous equation.

关 键 词：退化抛物方程 熵解 柯西问题 

分 类 号：O175.27[理学—数学]