Best possible estimates of solutions to the transmission problem for the Laplace operator with $N$ different media in a conical domain

Volume 34 / 2007

Mikhail Borsuk Applicationes Mathematicae 34 (2007), 445-491 MSC: 35J25, 35J60, 35J85, 35B65. DOI: 10.4064/am34-4-7

Abstract

We investigate the behavior of weak solutions to the transmission problem for the Laplace operator with $N$ different media in a neighborhood of a boundary conical point. We establish a precise exponent of the decreasing rate of the solution.

Authors

  • Mikhail BorsukDepartment of Mathematics and Informatics
    University of Warmia and Mazury in Olsztyn
    10-957 Olsztyn-Kortowo, Poland
    e-mail

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