| 关于奇重特征算子的局部可解性问题 |
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| 引用本文： | 杜心华. 关于奇重特征算子的局部可解性问题[J]. 四川师范大学学报(自然科学版), 1989, 0(3) |
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| 作者姓名： | 杜心华 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文把研究主型算子的方法,用于研究奇重特征算子的情形.解决了形如L=D_1~(2 p 1) α(t,x,D_x)算子的局部可解性问题,其中一阶拟微分算子α(t,x,D_x)与x 有关.1978年,P.R.Wenston 曾考虑过这类问题,但未能给以解决.
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| 关 键 词： | 奇重特征 非主型算子 局部可解性 |
On a Local Solvability of Operators with Characteristics Having Odd Order Multiplicity |
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| Du Xinhua. On a Local Solvability of Operators with Characteristics Having Odd Order Multiplicity[J]. Journal of Sichuan Normal University(Natural Science), 1989, 0(3) |
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| Authors: | Du Xinhua |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,it is used(?).Ezopo(?)'s method to sludy the Operators of Principaltype,to discussed the Operalors with odd multiplicity's characteristics,and settled localsolvability of the operators form as L=D_t~(2p 1)a(t,x(?),D_x),where one Order Pseudodi-fferential operator a(t,x,D_x)depending x.1978,Wenston considered this problem,howe-ver,didn't settle it. |
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| Keywords: | characteristics with odd multiplity operators of non-principal type.local solvability. |
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