吉林大学学报（理学版）2016，Vol.54Issue(4)：671-676,6.DOI:10.13413/j.cnki.jdxblxb.2016.04.01
强退化抛物方程的解
Solutions of a Strongly Degenerate Parabolic Equation
摘要
Abstract
We gave a new definition of boundary value (BV)weak solutions of the initial boundary value problem to a strongly degenerate parabolic equation∂u∂t =ΔA(u)+∑N i =1∂b i (u)∂x i , and obtained the existence of the solution by using the parabolic regularization method.The stability of the solutions was obtained by using Kruzkov bi-variables method.关键词
强退化抛物方程/BV 弱解/存在性/稳定性Key words
strongly degenerate parabolic equation/BV weak solution/existence/stability分类
数理科学引用本文复制引用
詹华税,袁洪君..强退化抛物方程的解[J].吉林大学学报（理学版）,2016,54(4):671-676,6.基金项目
国家自然科学基金(批准号:11371297 （）
11271153)、高等学校博士学科点专项科研基金(批准号:20140101-20161231)和福建省自然科学基金(批准号:2015J01592) （批准号:20140101-20161231）
