On Cauchy problem in the multianisotropic Gevrey spaces for weighted hyperbolic equations

被引:3
作者
Margaryan, V. N. [1 ]
Ghazaryan, H. G. [1 ]
机构
[1] Yerevan State Univ, Russian Armenian Slavon Univ, Yerevan 375049, Armenia
来源
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2015年 / 50卷 / 03期
关键词
Cauchy problem; weighted hyperbolic operator (polynomial); multianisotropic Gevrey space;
D O I
10.3103/S1068362315030012
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we prove existence of a unique solution of Cauchy problem in the multianisotropic Gevrey spaces for a class of weighted hyperbolic equations with sufficiently general weight.
引用
收藏
页码:107 / 113
页数:7
相关论文
共 12 条
  • [1] Calvo D., 1999, THESIS U STUDI PISA
  • [2] Cattabriga L., 1983, QUAD UN MAT IT BOLOG, V24
  • [3] Ghazaryan H. G., 1979, DIFF URAVNENIA, V15, P1059
  • [4] Ghazaryan H. G., 2014, IZV NAN ARMENII MATE, V49, P212
  • [5] Gindikin S., 1973, MATH ITS APPL SOVIET, V86
  • [6] Gording L., 1951, ACTA MATH, V85, P1
  • [7] Hormander L., 2003, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis
  • [8] Larson E., 2003, ARK MAT, V7, P11
  • [9] Margaryan V. N., 2002, IZV NAN ARMENII MATE, V31, P33
  • [10] Rodino L., 1993, LINEAR PARTIAL DIFF