On the Cauchy Problem for Hyperbolic Operators with Double Characteristics

被引：7

作者：

Parenti, Cesare ^{[2
]}

Parmeggiani, Alberto ^{[1
]}

机构：

[1] Univ Bologna, Dept Math, I-40126 Bologna, Italy

[2] Univ Bologna, Dept Comp Sci, I-40126 Bologna, Italy

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2009年 / 34卷 / 08期

关键词：

Cauchy problem; Ivrii-Petkov condition; Weakly hyperbolic operator; EQUATIONS;

D O I：

10.1080/03605300902892360

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that for a class of hyperbolic second order operators with double characteristics the Ivrii-Petkov condition is also sufficient for the well-posedness of the Cauchy problem in C.

引用

页码：837 / 888

页数：52

共 50 条

[31] UNIQUENESS IN THE CAUCHY-PROBLEM FOR A CLASS OF DIFFERENTIAL-OPERATORS WITH DOUBLE CHARACTERISTICS
HOUNIE, J
MELO, MEM
TOHOKU MATHEMATICAL JOURNAL, 1983, 35 (02) : 249 - 259
[32] ON A CLASS OF HYPERBOLIC OPERATORS WITH DOUBLE CHARACTERISTICS
BERNARDI, E
BOVE, A
PARENTI, C
LECTURE NOTES IN MATHEMATICS, 1988, 1340 : 23 - 30
[33] A CLASS OF HYPERBOLIC OPERATORS WITH DOUBLE CHARACTERISTICS
AMADORI, D
PARENTI, C
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1994, 19 (7-8) : 1185 - 1201
[34] On the Cauchy problem for hyperbolic operators with non-regular coefficients
Colombini, F
Del Santo, D
Kinoshita, T
JEAN LERAY '99 CONFERENCE PROCEEDINGS: THE KARLSKRONA CONFERENCE IN HONOR OF JEAN LERAY, 2003, 24 : 37 - +
[35] CORRECTNESS CONDITIONS IN GEVREY CLASSES OF CAUCHY-PROBLEM FOR HYPERBOLIC OPERATORS WITH CHARACTERISTICS OF VARIABLE MULTIPLICITY
IVRII, VY
DOKLADY AKADEMII NAUK SSSR, 1975, 221 (06): : 1253 - 1255
[36] Propagation of singularities in the Cauchy problem for a class of degenerate hyperbolic operators
Ascanelli, Alessia
Cicognani, Massimo
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (01) : 694 - 704
[37] WELLPOSEDNESS IN GEVREY CLASS OF THE CAUCHY-PROBLEM FOR HYPERBOLIC OPERATORS
KAJITANI, K
BULLETIN DES SCIENCES MATHEMATIQUES, 1987, 111 (04): : 415 - 438
[38] EXPLICIT SOLUTION OF CAUCHY-PROBLEM FOR EFFECTIVELY HYPERBOLIC OPERATORS
ALINHAC, S
DUKE MATHEMATICAL JOURNAL, 1978, 45 (02) : 225 - 258
[39] Amore direct way to the Cauchy problem for effectively hyperbolic operators
Nishitani, Tatsuo
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2024, 15 (02)
[40] ON CAUCHY PROBLEM FOR HYPERBOLIC DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS
HARVEY, C
ISRAEL JOURNAL OF MATHEMATICS, 1969, 7 (03) : 217 - &

← 1 2 3 4 5 →