Branching of singularities for some second or third order microhyperbolic operators

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J. Math. Sci. Univ. Tokyo
Vol. 2 (1995), No. 3, Page 671--749.

Yamane, Hideshi
Branching of singularities for some second or third order microhyperbolic operators
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Abstract:
We study microhyperbolic operators of the form

$(D_1 - Î±_1 x_1 D_n)(D_1 - Î±_2 x_1 D_n)$ +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.

Mathematics Subject Classification (1991): Primary 35L67; Secondary 35L20, 35L35

Mathematical Reviews Number: MR1382526

Received: 1994-12-26

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