A.V. Bitsadze's observation on bianalytic functions and the Schwarz problem
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
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
Riemann boundary-value problem for doubly-periodic bianalytic functions
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DOI: 10.1186/s13661-018-1005-z
Abstract: In this paper, we study Riemann boundary-value problem for doubly-periodic bianalytic functions. By the decomposition of doubly-periodic polyanalytic functions, the problem is transformed into two equivalent and independent Riemann boundary-value problems of doubly-periodic analytic functions,… read more here.
Keywords: riemann boundary; doubly periodic; boundary value; periodic bianalytic ... See more keywords