Localized Boundary-Domain Singular Integral Equations Based on Harmonic Parametrix for Divergence-Form Elliptic PDEs with Variable Matrix Coefficients

Author:

Chkadua O.,Mikhailov S. E.,Natroshvili D.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference33 articles.

1. Agranovich M.S.: Elliptic singular integro-differential operators. Uspekhi Mat. Nauk 20(5), 3–120 (1965)

2. Agranovich M.S., Voitovich N.N., Katsenelenbaum B.Z., Sivov A.N.: Generalized Method of Eigenoscillations in Diffraction Theory. Wiley, Berlin (1999)

3. Ayele, T.G., Mikhailov, S.E.: Two-operator boundary-domain integral equations for a variable-coefficient BVP. In: Constanda, C., Pérez, M. (eds.) Integral Methods in Science and Engineering. Analytic Methods, vol. 1, pp. 29–39. Birkhäuser, Boston (2010). ISBN 978-08176-4898-5

4. Ayele T.G., Mikhailov S.E.: Analysis of two-operator boundary-domain integral equations for a variable-coefficient mixed BVP. Eurasian Math. J. 2, 20–41 (2011)

5. Boutet de Monvel L.: Boundary problems for pseudo-differential operators. Acta Math. 126, 11–51 (1971)

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