On Lipschitz solutions for some forward-backward parabolic equations. II: the case against Fourier

被引:5
作者
Kim, Seonghak [1 ]
Yan, Baisheng [2 ]
机构
[1] Renmin Univ China, Inst Math Sci, Beijing 100872, Peoples R China
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
关键词
WEAK SOLUTIONS; EXISTENCE;
D O I
10.1007/s00526-017-1155-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
As a sequel to the paper Kim and Yan (Ann Inst H Poincare Anal Non Lineaire. doi: 10.1016/j.anihpc.2017.03.001, 2017), we study the existence and properties of Lipschitz solutions to the initial-boundary value problem of some forward-backward diffusion equations with diffusion fluxes violating Fourier's inequality.
引用
收藏
页数:36
相关论文
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    Kim, Seonghak
    Yan, Baisheng
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2018, 35 (01): : 65 - 100