Limit behaviour of solutions to a class of boundary value problem with equivalued surface for hyperbolic equations[1]This work was supported by NSFC (19871048) and NSF of Shandong province.

In this paper, in the case that the equivalued surface boundary $\tilde{\varGamma}_1^\varepsilon$ shrinks to a fixed point on boundary $\varGamma_1$ , we discuss the limit behaviour of solutions for a class of boundary value problems with equivalued surface for hyperbolic equations.