Analytic semigroups generated in L1(Ω) by second order elliptic operators via duality methods

被引：0
作者：
L. Angiuli
D. Pallara
F. Paronetto
机构：
[1] Università del Salento,Dipartimento di Matematica “Ennio De Giorgi”
[2] Università di Padova,Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate
来源：
Semigroup Forum | 2010年 / 80卷
关键词：
Analytic semigroups; General boundary conditions; Duality methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given an open domain (possibly unbounded) Ω⊂Rn, we prove that uniformly elliptic second order differential operators, under nontangential boundary conditions, generate analytic semigroups in L1(Ω). We use a duality method, and, further, give estimates of first order derivatives for the resolvent and the semigroup, through properties of the generator in Sobolev spaces of negative order.
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页码：255 / 271
页数：16
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