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An algebra generated by general pseudodifferential boundary value problems in a cone

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Abstract

The algebra indicated in the title is constructed. By localization outside the vertex of the cone, it reduces to the Boutet de Monvel algebra on a smooth manifold.

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References

  1. L. Boutet de Monvel, “Boundary problems for pseudo-differential operators,” Acta Math.,126, No. 1–2, 11–51 (1971).

    Google Scholar 

  2. G. I. Eskin, Boundary Value Problems for Elliptic Pseudodifferential Equations, Amer. Math. Soc, Providence (1981).

    Google Scholar 

  3. S. Rempel and B.-W. Schulze, “Parametrices and boundary symbolic calculus for elliptic boundary problems without the transmission property,” Math. Nachr.,105, 45–149 (1982).

    Google Scholar 

  4. V. A. Kondrat'ev, “Boundary value problems for elliptic equations in domains with conical or angular points,” Trudy Moskov. Mat. Obshch.,16, 209–292 (1967).

    Google Scholar 

  5. B. A. Plamenevskii, “On the boundedness of singular integrals in spaces with a weight,” Mat. Sb.,76 (118), No. 4, 573–592 (1968).

    Google Scholar 

  6. B. A. Plamenevskii, “On the algebra of pseudodifferential operators in spaces with weighted norms,” Mat. Sb.,106 (148), No. 2, 296–320 (1978).

    Google Scholar 

  7. B. A. Plamenevskii, “On algebras generated by pseudodifferential operators with isolated singularities of symbols,” in: Spectral Theory. Wave Processes, Probl. Mat. Fiz., No. 10, Leningrad. Univ., Leningrad (1982), pp. 209–241.

    Google Scholar 

  8. B. A. Plamenevskii, “On boundary value problems for meromorphic pseudodifferential operators,” Izv. Vyssh. Uchebn. Zaved. Matematika, No. 4, 69–78 (1980).

    Google Scholar 

  9. A. O. Derviz, “The algebra of pseudodifferential boundary value problems on manifolds with conical points. I. The algebra of meromorphic pseudodifferential boundary value problems,” Leningrad (1985), Manuscript deposited at VINITI, May 22, 1985, No. 3493.

  10. A. O. Derviz, “The algebra of pseudodifferential boundary value problems on manifolds with conical points. II,” Leningrad (1985), Manuscript deposited at VINITI, May 22, 1985, No. 3494.

  11. I. Ts. Gokhberg (I. C. Gohberg) and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Amer. Math. Soc, Providence (1969).

    Google Scholar 

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Authors
  1. A. O. Derviz
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Additional information

Translated from Problemy Matematicheskogo Analiza, No. 11, pp. 133–161, 1990.

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Derviz, A.O. An algebra generated by general pseudodifferential boundary value problems in a cone. J Math Sci 64, 1313–1330 (1993). https://doi.org/10.1007/BF01098023

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