| STABILITY OF GLOBAL GEVREY SOLUTION TO WEAKLY HYPERBOLIC EQUATIONS |
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| 作者姓名： | M. Reissig K. Yagdjian |
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| 作者单位： | Wang Jiagang |
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| 摘 要： | ＳＴＡＢＩＬＩＴＹＯＦＧＬＯＢＡＬＧＥＶＲＥＹＳＯＬＵＴＩＯＮＴＯＷＥＡＫＬＹＨＹＰＥＲＢＯＬＩＣＥＱＵＡＴＩＯＮＳＭ．ＲＥＩＳＳＩＧＫ．ＹＡＧＤＪＩＡＮＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＮｏｖｅｍｂｅｒ１４，１９９４．ＦａｃｕｌｔｙｏｆＭ...
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| 关 键 词： | 稳定性 双曲线方程 热夫雷函数 整体可解 |
| 收稿时间： | 1994/11/14 0:00:00 |
STABILITY OF GLOBAL GEVREY SOLUTION TO WEAKLY HYPERBOLIC
EQUATIONS |
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| M. Reissig,K. Yagdjian.STABILITY OF GLOBAL GEVREY SOLUTION TO WEAKLY HYPERBOLIC EQUATIONS[J].Chinese Annals of Mathematics,Series B,1997,18(1):1-14. |
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| Authors: | M Reissig and K Yagdjian |
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| Institution: | [1]FacultyofMathematicsandComputerScience,FreibergUniversityofMiningandTechnology,Bernhard-von-Cotta-Str.2,D-09596Freiberg,Germany [2]InstituteofMathematics,ArmenianAcademyofSciences,MarshalBagramianAve.24B,375019Yerevan,Armenia |
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| Abstract: | This work is concerned with the proof of stability of global Gevrey solution to the following quasilinear weakly hyperbolic equation: utt - a(x, t)uxx = f(x, t, u, ux ) in P × 0, T] wit h initial data u(x, 0) = u0(x) and ut(x, 0) = u1 (x). Here weak hyperbolicity means that a(x,t) >_ 0, that is, there exist, in general, characteristic roots of variable multiplicity. One has to distinguish between the case of spatial degeneracy and that of time degeneracy. The connection to the life span of solutions is given. |
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| Keywords: | Strassen law of the iterated logarithm process with independent increments stochastic calculus |
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