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On some new boundary-value problems in nonsmooth domains

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Abstract

The wave factorization of an elliptic pseudodifferential operator and the solvability of the equation with such an operator are described.

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References

  1. G. I. Eskin, Boundary-Value Problems for Elliptic Pseudodifferential Equations [in Russian], Nauka, Moscow (1973).

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  2. I. R. Valitov, “Inverse problems for hyperbolic equations,” Abstract of Candidate’s Dissertation in Physics and Mathematics [in Russian], Belgorod(2009).

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  4. V. S. Vladimirov, Methods of the Theory of Functions of Several Complex Variables [in Russian], Nauka, Moscow (1964).

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Authors and Affiliations

  1. I. G. Petrovskii Bryansk State University, Bryansk, Russia

    V. B. Vasil’ev

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  1. V. B. Vasil’ev
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Correspondence to V. B. Vasil’ev.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 67, Partial Differential Equations, 2010.

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Vasil’ev, V.B. On some new boundary-value problems in nonsmooth domains. J Math Sci 173, 225–230 (2011). https://doi.org/10.1007/s10958-011-0245-6

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  • DOI: https://doi.org/10.1007/s10958-011-0245-6

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