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Equivalence of three kinds of well-posed-ness of discontinuous Riemann-Hilbert problem for elliptic complex equation in multiply connected domains

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Abstract

In this article, we first introduce the general linear elliptic complex equation of first order with certain conditions, and then propose discontinuous Riemann-Hilbert problem and some kinds of modified well-posed-ness for the complex equation. Then we verify the equivalence of three kinds of well-posed-ness. The discontinuous boundary value problem possesses many applications in mechanics and physics etc.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Guo-chun Wen

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  1. Guo-chun Wen
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Correspondence to Guo-chun Wen.

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Wen, Gc. Equivalence of three kinds of well-posed-ness of discontinuous Riemann-Hilbert problem for elliptic complex equation in multiply connected domains. Appl. Math. J. Chin. Univ. 29, 183–193 (2014). https://doi.org/10.1007/s11766-014-3210-6

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  • DOI: https://doi.org/10.1007/s11766-014-3210-6

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