On Linearly Independent Solutions of the Homogeneous Schwarz Problem
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DOI: 10.1007/s10958-021-05473-5
Abstract: We study the homogeneous Schwarz problem for Douglis analytic functions. We consider two-dimensional matrices J with a multiple eigenvalue and a eigenvector, which is not proportional to a real vector. We obtain a sufficient condition… read more here.
Keywords: linearly independent; independent solutions; schwarz problem; homogeneous schwarz ... See more keywords
A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem
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DOI: 10.1080/17476933.2018.1504039
Abstract: ABSTRACT According to an observation of A.V. Bitsadze from 1948 the Dirichlet problem for bianalytic functions is ill-posed. A natural boundary condition for the polyanalytic operator, however, is the Schwarz condition. An integral representation for… read more here.
Keywords: bitsadze observation; bianalytic functions; problem; schwarz problem ... See more keywords