SPECTRAL PROPERTIES OF OPERATOR -DIV (-DELTA)-1GRAD IN L2(OMEGA)/R

被引：0

作者：

GAULTIER, M

LEZAUN, M

机构：

[1] UNIV BASQUE COUNTRY, FAC CIENCIAS, DEPT MATEMAT APLICADA & ESTAD & INVEST OPERAT, BILBAO, SPAIN

[2] CEREMAB, TALENCE, FRANCE

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1992年 / 315卷 / 07期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are concerned with the spectrum sigma(T) of the operator T = -div(-DELTA)-1 grad in L2 (OMEGA)/R. We prove that sigma(T) subset-or-equal-to [P(OMEGA)-1, 1] where P(OMEGA) is the best constant on the coercivity inequality Absolute value of u 2/L2(OMEGA) less-than-or-equal-to C(OMEGA) parallel-to grad (u) parallel-to 2/H-1(OMEGA))n, for-all u is-an-element-of L2 (OMEGA)/R. P(OMEGA)-1 is an element of the spectrum and parallel-to T parallel-to = 1 is an eigenvalue of T. If OMEGA is the unity ball in R2 or R3, we give the spectrum of the operator T.

引用

页码：799 / 802

页数：4

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