Propagation of singularities around a Lagrangian submanifold of radial points
Propagation of singularities around a Lagrangian submanifold of radial points
复制标题
奇点围绕径向点拉格朗日子流形的传播
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
A. Vasy
中科院分区：
文献类型：
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作者：
Nick Haber;A. Vasy
帕拉>本次演讲讨论了Pu = f的解u的波阵面集，其中P是具有实值齐次主符号p的流形上的伪微分算子，当对应于p的汉密尔顿向量场在包含在P的特征集中的拉格朗日子流形上是径向的时。根据Duistermaat-Hormander [2]的定理，奇异性沿着该汉密尔顿向量场的双特征传播。当汉密尔顿矢量场是径向场时，这个定理没有给出波前集的信息。
Para>This talk discusses the wavefront set of a solution u to Pu = f, where P is a pseudodifferential operator on a manifold with real-valued homogeneous principal symbol p, when the Hamilton vector field corresponding to p is radial on a Lagrangian submanifold contained in the characteristic set of P. According to a theorem of Duistermaat-Hormander [2], singularities propagate along bicharacteristics of this Hamilton vector field. This theorem gives us no information about the wavefront set when the Hamilton vector field is radial.