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 Mat. Sb. (N.S.), 1971, Volume 86(128), Number 2(10), Pages 268–298 (Mi msb3296)

Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points

A. I. Komech

Abstract: In this report there is considered a general boundary value problem for pseudodifferential operators on a manifold whose boundary contains conical points. It is proved that this problem is Noetherian in spaces of functions having singularities of a certain type at the conical points.
Figures: 1.
Bibliography: 11 titles.

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English version:
Mathematics of the USSR-Sbornik, 1971, 15:2, 261–297

Bibliographic databases:

UDC: 517.946.9
MSC: Primary 35J40; Secondary 35S15, 58G15

Citation: A. I. Komech, “Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points”, Mat. Sb. (N.S.), 86(128):2(10) (1971), 268–298; Math. USSR-Sb., 15:2 (1971), 261–297

Citation in format AMSBIB
\Bibitem{Kom71} \by A.~I.~Komech \paper Elliptic boundary value problems for pseudodifferential operators on manifolds with conical points \jour Mat. Sb. (N.S.) \yr 1971 \vol 86(128) \issue 2(10) \pages 268--298 \mathnet{http://mi.mathnet.ru/msb3296} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=299934} \zmath{https://zbmath.org/?q=an:0227.35040} \transl \jour Math. USSR-Sb. \yr 1971 \vol 15 \issue 2 \pages 261--297 \crossref{https://doi.org/10.1070/SM1971v015n02ABEH001544} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. A. I. Komech, “Elliptic boundary value problems on manifolds with a piecewise smooth boundary”, Math. USSR-Sb., 21:1 (1973), 91–135
2. A. I. Komech, “Equations with homogeneous kernels and Mellin transformation of generalized functions”, Theoret. and Math. Phys., 27:2 (1976), 390–399
3. B. A. Plamenevskii, “On an algebra of pseudodifferential operators in spaces with weighted norms”, Math. USSR-Sb., 34:6 (1978), 841–865
4. W. L. Wendland, E. Stephan, G. C. Hsiao, E. Meister, “On the integral equation method for the plane mixed boundary value problem of the Laplacian”, Math Meth Appl Sci, 1:3 (1979), 265
5. Martin Costabel, “Boundary integral operators on curved polygons”, Annali di Matematica, 133:1 (1983), 305
6. Johannes Elschner, “Asymptotics of Solutions to Pseudodifferential Equations of MELLIN Type”, Math Nachr, 130:1 (1987), 267
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