The well-posedness of renormalized solutions for a non-uniformly parabolic equation
The well-posedness of renormalized solutions for a non-uniformly parabolic equation
复制标题
非均匀抛物型方程重正化解的适定性
DOI:
10.1090/proc/13406
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发表时间:
2016-11
期刊:
影响因子:
--
通讯作者:
Zhou Shulin
中科院分区:
文献类型:
--
作者:
Zhang Chao;Zhou Shulin
In this paper we present a unified approach to establish the existence of renormalized solutions and a comparison result for a class of non-uniformly parabolic initial-boundary value problems. As a consequence, the uniqueness of renormalized solutions and the equivalence between entropy and renormalized solutions for such equations are obtained. The results extend the well-posedness results for the classical-Laplacian type equations to a larger class of non-linear elliptic and parabolic PDEs including the nearly linear growth operators. References
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10.1007/978-0-387-49319-0
发表时间:
1941
期刊:
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影响因子:
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