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Regularity of the solution of elliptic problems with piecewise analytic data. II: The trace spaces and application to the boundary value problems with nonhomogeneous boundary conditions. (English) Zbl 0706.35028
[For part I, cf. ibid. 19, No.1, 172-203 (1988; Zbl 0647.35021).]
This paper presents in detail the structure of the traces of functions on weighted spaces. Rigorous mathematical treatment is presented. Existence and convergence of the problem is proved. No numerical examples are presented as test cases. The paper will be very useful for theoretical researchers working on boundary value problems.
Reviewer: P.K.Mahanti

MSC:
35D10 Regularity of generalized solutions of PDE (MSC2000)
35J25 Boundary value problems for second-order elliptic equations
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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