|本期目录/Table of Contents|

[1]曾羽群.一类发展的p(x)-Laplace方程解的存在唯一性[J].集美大学学报(自然科学版),2021,26(2):119-124.
　ZENG Yuqun.Existence and Uniqueness of Solutions to an Evolutionary p(x)-Laplace Equation[J].Journal of Jimei University,2021,26(2):119-124.
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一类发展的p(x)-Laplace方程解的存在唯一性(PDF)
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第26卷
期数:
2021年第2期
页码:
119-124
栏目:
数理科学与信息工程
出版日期:
2021-03-28

文章信息/Info

Title:
Existence and Uniqueness of Solutions to an Evolutionary p(x)-Laplace Equation
作者:
曾羽群
(集美大学理学院,福建 厦门 361021)
Author(s):
ZENG Yuqun
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
发展的p(x)-Laplace方程; 存在唯一性; 稳定性; 部分边界条件; 子流形
Keywords:
evolutionary p(x)-Laplace equation; existence and uniqueness; stability; partial boundary value condition; submanifold
分类号:
-
DOI:
-
文献标志码:
-
摘要:
讨论一类发展的p(x)-Laplace方程ut=div(a(x,t)∣△u∣p(x)－2△u)+f(u,x,t)解的存在唯一性。不同于此前的研究，文中假设a(x,t)≥0，且当x∈Ω时，a(x,t)>0,解的稳定性是建立在一个合理的部分边界条件u(x,t)=0,(x,t)∈Σ1上，其中Σ1 Ω（0,T)仅仅是一个子流形。
Abstract:
The following evolutionary p(x)-Laplace equations t=div(a(x,t)∣△u∣p(x)－2△u)+f(u,x,t) were discussed,and the existence and the uniqueness of weak solutions were proved.Different from the previous works,it was assumed a(x,t)≥0and a(x,t)x∈Ω>0 in this paper.The stability of weak solutions was based on a reasonable partial boundary value condition u(x,t)=0,(x,t)∈Σ1,where Σ1Ω×(0,T) was just a submanifold.

参考文献/References:

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2021-05-17