| 半线性主型拟微分算子方程解的光滑传播 |
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| 引用本文： | 余喜章,杜心华.半线性主型拟微分算子方程解的光滑传播[J].四川师范大学学报(自然科学版),1990(3). |
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| 作者姓名： | 余喜章 杜心华 |
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| 作者单位： | 四川师范大学数学系，四川师范大学数学系 |
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| 摘 要： | 本文讨论了主型拟微分算子方程在调和空间中的奇性传播,得到了二阶主型拟微分算子方程解的奇性沿着次特征带有大约3_8阶传播现象.
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| 关 键 词： | 主型 拟微分算子 调和空间 光滑传播 |
PROPAGATION OF SMOOTHNESS FOR SEMILINEAR PSEUDODIFFERENTIAL OPERATOR EQUATIONS OF PRINCIPIAL TYPE |
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| Yu xizhang Du Xinhua.PROPAGATION OF SMOOTHNESS FOR SEMILINEAR PSEUDODIFFERENTIAL OPERATOR EQUATIONS OF PRINCIPIAL TYPE[J].Journal of Sichuan Normal University(Natural Science),1990(3). |
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| Authors: | Yu xizhang Du Xinhua |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper discusses a class of propagation of singularities for semilinear pseudodifferential operator equations of
principal type and proves that microlocal smoothness along null bicharacteristic is propagated approximately up to order
3s for second order pseudodifferential operator equation of principal type. |
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| Keywords: | Principal type pseudodifferential operator (H~(?))~a_(?) space propagation of smoothness |
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