Abstract
We study a two-phase difraction-type problem for nondiagonal linear elliptic systems of equations. We study the regularity of a weak solution to the problem in the Campanato spaces. In particular, we prove the smoothness of solutions in a neighborhood of the interface surface separating media. For model systems with constant coefficients we derive Campanato-type integral estimates. Bibliography: 13 titles.
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Arkhipova, A.A., Elhamahmy, O. Regularity of Solutions to a Diffraction-Type Problem for Nondiagonal Linear Elliptic Systems in the Campanato Space. Journal of Mathematical Sciences 112, 3944–3966 (2002). https://doi.org/10.1023/A:1020093606080
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DOI: https://doi.org/10.1023/A:1020093606080