Branching of singularities for some second or third order microhyperbolic operators
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概要
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We study microhyperbolic operators of the form $(D_1 - α_1 x_1 D_n)(D_1 - α_2 x_1 D_n)$+lower, $(D_1 - x_1 D_n)D_1(D_1 + x_1 D_n)$+lower. When the lower order terms take a certain form, we can obtain a very detailed information about the singularity of a solution. We look at this problem from the viewpoint of boundary value problems. General arguments for $m$-th order operators are given.
- 東京大学の論文