General interface problems. II. (English) Zbl 0824.35015

Nicaise, Serge; Sändig, Anna-Margarete

Math. Methods Appl. Sci. 17, No. 6, 431-450 (1994).

This is a continuation of the authors’ previous paper [ibid. 395-429 (1994) (see the preceding review)]. The authors prove the regularity and the asymptotics of solutions in usual Sobolev spaces for nonconstant coefficients operators. The stabilization procedure is proposed when unstable decompositions appear near a critical angle.

Reviewer: H.Ding (Beijing)

MSC:

35B65	Smoothness and regularity of solutions to PDEs
35C20	Asymptotic expansions of solutions to PDEs
35J40	Boundary value problems for higher-order elliptic equations

Keywords:

interface problem; non-smooth domain

Citations:

Zbl 0824.35014

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