CAUCHYS PROBLEM FOR HYPERBOLIC-EQUATIONS ON A RIEMANNIAN MANIFOLD

被引：0

作者：

WAMON, F

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1995年 / 320卷 / 07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：

We prove on a C-infinity riemannian manifold V = R x S, existence theorems for Cauchy problem for hyperbolic linear and quasi-linear equations. This is a generalization of the results proved by P. A. Dionne in [1] for Euclidean spaces.

引用

页码：797 / 802

页数：6

共 50 条

[31] SURFACES DEFINED BY HYPERBOLIC-EQUATIONS
ARNOLD, VI
MATHEMATICAL NOTES, 1988, 44 (1-2) : 489 - 497
[32] ON THE DARBOUX INTEGRABLE HYPERBOLIC-EQUATIONS
SOKOLOV, VV
ZHIBER, AV
PHYSICS LETTERS A, 1995, 208 (4-6) : 303 - 308
[33] ON STRUCTURE OF ASYMPTOTIC OF SOLUTION OF CAUCHY-PROBLEM FOR PARABOLIC AND HYPERBOLIC-EQUATIONS
DENISOV, VN
DOKLADY AKADEMII NAUK, 1993, 329 (03) : 261 - 264
[34] SOLVABILITY OF A BOUNDARY-VALUE PROBLEM FOR HYPERBOLIC-EQUATIONS IN NONCLASSICAL DOMAINS
LERNER, ME
DIFFERENTIAL EQUATIONS, 1989, 25 (04) : 487 - 496
[35] ASYMPTOTICS FOR A CLASS OF SEMILINEAR HYPERBOLIC-EQUATIONS WITH AN APPLICATION TO A PROBLEM WITH A QUADRATIC NONLINEARITY
VANHORSSEN, WT
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (06) : 501 - 530
[36] CONSTRUCTION OF WEAKLY COMMUTING CONTINUATIONS OF OPERATORS AND THE PROBLEM OF THE SYMMETRIZATION OF HYPERBOLIC-EQUATIONS
AIRAPETIAN, RG
DOKLADY AKADEMII NAUK SSSR, 1987, 293 (06): : 1289 - 1293
[37] THE CAUCHY-PROBLEM FOR WEAKLY HYPERBOLIC-EQUATIONS IN GEVREY-CLASSES
ITOH, S
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (01) : 27 - 61
[38] ON THE UNIFORM QUASIASYMPTOTICS OF SOLUTIONS OF HYPERBOLIC-EQUATIONS
DUMANYAN, VZ
MATHEMATICS OF THE USSR-SBORNIK, 1991, 70 (01): : 109 - 128
[39] UNIQUENESS OF EXTENSION OF SOLUTIONS OF HYPERBOLIC-EQUATIONS
ISAKOV, VM
MATHEMATICAL NOTES, 1982, 32 (1-2) : 517 - 520
[40] MULTISTEP DISCRETIZATION OF LINEAR HYPERBOLIC-EQUATIONS
ISERLES, A
IMA JOURNAL OF NUMERICAL ANALYSIS, 1986, 6 (03) : 293 - 307

← 1 2 3 4 5 →