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Analytic regularity for the Dirichlet problem in domains with conic singularities. (English) Zbl 0372.35012


MSC:

35D10 Regularity of generalized solutions of PDE (MSC2000)
35J15 Second-order elliptic equations

References:

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[3] M.S. Baouendi - C. Goulaouic , Approximation of analytic functions on compact sets and Bernstein’s inequality , Trans. A.M.S. , 189 ( 1974 ), pp. 251 - 261 . MR 352789 | Zbl 0296.41016 · Zbl 0296.41016 · doi:10.2307/1996858
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[7] Kondratev , Boundary value problems for elliptic equations in domains with conical or angular points , Trudy. Mosk. Mat. Obs. , 16 ( 1967 ), pp. 209 - 292 ( Transactions of the Moscow Mat. Soc. ( 1967 ), pp. 227 - 313 .) MR 226187 | Zbl 0194.13405 · Zbl 0194.13405
[8] G.G. Lorentz , Approximation of functions , Elsevier ( 1965 ). · Zbl 0134.28301
[9] C.B. Morrey - L. Nirenberg , On the analyticity of the solutions of linear elliptic systems of partial differential equations , Comm. Pure Appl. Math. , 10 ( 1957 ), pp. 271 - 290 . MR 89334 | Zbl 0082.09402 · Zbl 0082.09402 · doi:10.1002/cpa.3160100204
[10] J. Sjöstrand , Parametrices for pseudodifferential operators with multiple characteristics , Ark. för Math. , 12 ( 1974 ), pp. 85 - 130 . MR 352749 | Zbl 0317.35076 · Zbl 0317.35076 · doi:10.1007/BF02384749
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