On the Cauchy Problem for Hyperbolic Operators with Double Characteristics

被引：9

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

[21] On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness
Bernardi, Enrico
Nishitani, Tatsuo
JOURNAL D ANALYSE MATHEMATIQUE, 2008, 105 (1): : 197 - 240
[22] Solution of the Cauchy problem for a hyperbolic equation of the fourth order with the Bessel operator by the method of transmutation operators
Karimov, Shakhobiddin
Oripov, Shukrullo
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2023, 29 (02):
[23] Solution of the Cauchy problem for a hyperbolic equation of the fourth order with the Bessel operator by the method of transmutation operators
Shakhobiddin Karimov
Shukrullo Oripov
Boletín de la Sociedad Matemática Mexicana, 2023, 29
[24] On the Cauchy problem for non-effectively hyperbolic operators, the Gevrey 5 well-posedness
Enrico Bernardi
Tatsuo Nishitani
Journal d'Analyse Mathématique, 2008, 105 : 197 - 240
[25] CAUCHY PROBLEM FOR THE HYPERBOLIC SYSTEM WITH MIXED DERIVATIVE
Kozlova, E. A.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2012, (04): : 218 - 221
[26] CAUCHY PROBLEM FOR A CLASS OF NONDIAGONALIZABLE HYPERBOLIC SYSTEMS
Gramchev, Todor
Orru, Nicola
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 : 533 - 542
[27] Diagonal symmetrizers for hyperbolic operators with triple characteristics
Nishitani, Tatsuo
MATHEMATISCHE ANNALEN, 2022, 383 (1-2) : 529 - 569
[28] ON THE CAUCHY PROBLEM FOR NON-EFFECTIVELY HYPERBOLIC OPERATORS. THE GEVREY 3 WELL-POSEDNESS
Bernardi, Enrico
Nishitani, Tatsuo
JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2011, 8 (04) : 615 - 650
[29] CAUCHY PROBLEM FOR THE SYSTEM OF THE GENERAL HYPERBOLIC DIFFERENTIAL EQUATIONS OF THE FORTH ORDER WITH NONMULTIPLE CHARACTERISTICS
Andreev, A. A.
Yakovleva, J. O.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2014, (04): : 7 - 15
[30] On the global solubility of the Cauchy problem for hyperbolic Monge-Ampere systems
Tunitsky, D., V
IZVESTIYA MATHEMATICS, 2018, 82 (05) : 1019 - 1075

← 1 2 3 4 5 →