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典型文献
Global Existence and Decay of Solution to Parabolic-Parabolic Keller-Segel Model in Rd
文献摘要:
We consider the global existence and decay of integral solutions to the parabolic-parabolic Keller-Segel system in d-dimension. On the one hand, by Banach fixed point theorem and some properties of heat kernel, we prove the local existence and the global existence of integral solutions for the different initial data under some conditions that involve the size of the initial data. On the other hand, in the case of global solutions, we obtain their optimal time decay by Gronwall's lemma.
文献关键词:
作者姓名:
ZHONG Wenbin;LIU Xiaofeng
作者机构:
College of Science,Donghua University,Shanghai 201620,China
引用格式:
[1]ZHONG Wenbin;LIU Xiaofeng-.Global Existence and Decay of Solution to Parabolic-Parabolic Keller-Segel Model in Rd)[J].东华大学学报(英文版),2022(01):85-94
A类:
B类:
Global,Existence,Decay,Solution,Parabolic,Keller,Segel,Model,Rd,We,consider,global,existence,decay,integral,solutions,parabolic,system,dimension,On,one,hand,by,Banach,fixed,point,theorem,some,properties,heat,kernel,we,prove,local,different,initial,data,under,conditions,that,involve,size,other,case,obtain,their,optimal,Gronwall,lemma
AB值:
0.61529
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