CHARACTERIZATION OF THE LINEAR PARTIAL-DIFFERENTIAL OPERATORS WITH CONSTANT-COEFFICIENTS THAT ADMIT A CONTINUOUS LINEAR RIGHT INVERSE

被引：2

作者：

MEISE, R

TAYLOR, BA

VOGT, D

机构：

[1] UNIV DUSSELDORF,INST MATH,W-4000 DUSSELDORF 1,GERMANY

[2] UNIV CHICAGO,DEPT MATH,ANN ARBOR,MI 48109

[3] BERG UNIV GESAMTHSCH WUPPERTAL,GESAMTHSCH WUPPERTAL,FACHBEREICH MATH 7,W-5600 WUPPERTAL,GERMANY

来源：

ANNALES DE L INSTITUT FOURIER | 1990年 / 40卷 / 03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：

Solving a problem of L. Schwartz, those constant coefficient partial differential operators P(D) are characterized that admit a continuous linear right inverse on E(OMEGA) or D'(OMEGA), OMEGA an open set in R(n). For bounded-OMEGA with C1-boundary these properties are equivalent to P(D) being very hyperbolic. For OMEGA = R(n) they are equivalent to a Phragmen-Lindelof condition holding on the zero variety of the polynomial P.

引用

页码：619 / 655

页数：37

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