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Regularity of the solution of elliptic problems with piecewise analytic data. I: Boundary value problems for linear elliptic equations of second order. (English) Zbl 0647.35021
This paper deals with the problem of characterizing the regularity of the solution of the linear partial differential equation of elliptic type on a polygonal domain. It addresses the case of constant and analytic coefficients. Section 1 gives the basic notation, section 2 deals with the regularity of solution of Poisson’s problem. Finally, some theorems are developed for illustration.
Reviewer: P.K.Mahanti

MSC:
35J25 Boundary value problems for second-order elliptic equations
35B65 Smoothness and regularity of solutions to PDEs
35D05 Existence of generalized solutions of PDE (MSC2000)
35E20 General theory of PDEs and systems of PDEs with constant coefficients
35A20 Analyticity in context of PDEs
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