On a class of strongly hyperbolic systems

被引：3

作者：

Bernardi, E

Bove, A

机构：

[1] Univ Bologna, Dipartimento Matemat, IT-40127 Bologna, Italy

[2] Ist Nazl Fis Nucl, Sez Bologna, IT-40126 Bologna, Italy

来源：

ARKIV FOR MATEMATIK | 2005年 / 43卷 / 01期

关键词：

D O I：

10.1007/BF02383613

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove a well-posedness result for the Cauchy problem. We study a class of first order hyperbolic differential [2] operators of rank zero on ail involutive submanifold of T(*)R(n+1)\{0} and prove that under suitable assumptions on the symmetrizability of the lifting of the principal symbol to a natural blow up of the "singular part" of the characteristic set, the operator is strongly hyperbolic.

引用

页码：113 / 131

页数：19

共 10 条

[1]

[Anonymous], 1974, RUSS MATH SURV, V29, P1, DOI DOI 10.1070/RM1974V029N05ABEH001295

[2]

[Anonymous], 1985, ANAL PARTIAL DIFFERE

[3]

BERNARDI E, 1992, OSAKA J MATH, V29, P129

[4] NECESSARY AND SUFFICIENT CONDITIONS FOR THE WELL-POSEDNESS OF THE CAUCHY-PROBLEM FOR A CLASS OF HYPERBOLIC OPERATORS WITH TRIPLE CHARACTERISTICS [J].

BERNARDI, E ;

BOVE, A .

JOURNAL D ANALYSE MATHEMATIQUE, 1990, 54 :21-59

[5] Necessary conditions for hyperbolic systems [J].

Bove, A ;

Nishitani, T .

BULLETIN DES SCIENCES MATHEMATIQUES, 2002, 126 (06) :445-479

[6]

Kajitani K., 1973, PUBL RES I MATH SCI, V9, P597

[7] MICROLOCAL STRUCTURE OF INVOLUTIVE CONICAL REFRACTION [J].

MELROSE, RB ;

UHLMANN, GA .

DUKE MATHEMATICAL JOURNAL, 1979, 46 (03) :571-582

[8]

NISHITANI T, 1995, OSAKA J MATH, V32, P41

[9]

Nishitani T, 2003, INT SOC ANAL APP COM, V10, P237

[10] NECESSARY CONDITIONS FOR STRONG HYPERBOLICITY OF 1ST-ORDER SYSTEMS [J].

NISHITANI, T .

JOURNAL D ANALYSE MATHEMATIQUE, 1993, 61 :181-229

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