Branching of singularities for some second or third order microhyperbolic operators
Vol. 2 (1995), No. 3, Page 671--749.
Yamane, Hideshi
Branching of singularities for some second or third order microhyperbolic operators
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]
Abstract:
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.
Mathematics Subject Classification (1991): Primary 35L67; Secondary 35L20, 35L35
Mathematical Reviews Number: MR1382526
Received: 1994-12-26
