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

共 50 条

[21] Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse
Bonet, Jose
Meise, Reinhold
[J]. STUDIA MATHEMATICA, 2008, 184 (01) : 49 - 77
[22] SOLUTIONS IN GEVREY SPACES OF PARTIAL-DIFFERENTIAL EQUATIONS WITH CONSTANT-COEFFICIENTS
CATTABRIGA, L
[J]. ASTERISQUE, 1981, (89-9) : 129 - 151
[23] PROPAGATION OF GEVREY SINGULARITIES FOR SOLUTIONS OF LINEAR-DIFFERENTIAL OPERATORS WITH CONSTANT-COEFFICIENTS
ZANGHIRATI, L
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1984, 138 : 255 - 265
[24] ON COMMUTING LINEAR PARTIAL-DIFFERENTIAL OPERATORS
HAINZL, J
[J]. ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1981, 38 (1-4): : 1 - 8
[25] PARTIAL-DIFFERENTIAL OPERATORS OF INFINITE-ORDER WITH CONSTANT-COEFFICIENTS ON THE SPACE OF ANALYTIC-FUNCTIONS ON THE POLYDISK
MOMM, S
[J]. STUDIA MATHEMATICA, 1990, 96 (01) : 51 - 71
[26] ON REGULAR SYSTEMS OF LINEAR-DIFFERENTIAL EQUATIONS WITH CONSTANT-COEFFICIENTS
HOOKER, JW
LANGENHOP, CE
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1982, 12 (04) : 591 - 614
[27] ON THE PARTIAL STABILITY OF DISCRETE LINEAR-SYSTEMS WITH CONSTANT-COEFFICIENTS
HUANG, LM
[J]. CHINESE SCIENCE BULLETIN, 1991, 36 (19): : 1663 - 1664
[28] ON NON-LINEAR MONOTONOUS PARTIAL-DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
PANKOV, AA
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1981, (05): : 20 - 22
[29] CAUCHY-PROBLEM FOR A SYSTEM OF LINEAR PARTIAL-DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
FURUYA, H
NAGUMO, M
[J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1977, 53 (01): : 1 - 4
[30] Characterization of the linear partial differential equations that admit solution operators on Gevrey classes
Braun, RW
Meise, R
Taylor, BA
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2005, 588 : 169 - 220

← 1 2 3 4 5 →