Dual semigroups and second order linear elliptic boundary value problems

Dual semigroups and second order linear elliptic boundary value problems
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对偶半群和二阶线性椭圆边值问题

DOI:
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发表时间:
1983
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通讯作者:
H. Amann
H. Amann
中科院分区:
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文献类型:
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作者:
H. Amann

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证明了有界区域上的一般二阶椭圆边值问题在L1上生成解析半群。证明是基于菲利普斯的对偶半群理论。给出了Lp,1 <$p<∞中相应半群的几个精确估计.
It is shown that general second order elliptic boundary value problems on bounded domains generate analytic semigroups onL1. The proof is based on Phillips’ theory of dual semigroups. Several sharp estimates for the corresponding semigroups inLp, 1≦p<∞, are given.