ON THE NOTION OF CHARACTERISTIC OF A SYSTEM OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS

被引:0
作者
SHIH, JA [1 ]
机构
[1] UNIV KARLSRUHE,FAK INFORMAT,D-76128 KARLSRUHE,GERMANY
来源
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1995年 / 320卷 / 08期
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D O I
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let V and Z be two C-infinity-manifolds and D a general system of partial differential equations in the space of C-infinity-maps from V to Z. We define the notion of no-characteristic for D, using Thom's transversality notion and W. Shih's system. In particular this intrinsic notion (independent of local coordinates on V and Z) coincides with the Perrovskii's classical notion when V = R(n), Z = R(m).
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页码:965 / 968
页数:4
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