Asymptotics of solutions to the Laplace-Beltrami equation on a rotation surface with a cusp

作者：Kiselev O^*; Shestakov I

来源：Journal of Mathematical Analysis and Applications, 2010, 362(2): 393-400.

DOI：10.1016/j.jmaa.2009.08.039

• Manifolds with singularities
• Laplace-Beltrami operator

In this work we study an asymptotic behaviour of solutions to the Laplace-Beltrami operator on a rotation surface near a cuspidal point. To this end we use the WKB-approximation. This approach describes the asymptotic behaviour of the solution more explicitly than abstract theory for operators with operator-valued coefficients.

• 出版日期2010-2-15