Differential operators determining solutions of Elliptic equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1995 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 47, pages 1,811-1,817 (issn: 0041-5995, eissn: 1573-9376,

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Authors: I. M. Aleksandrovich;

doi: 10.1007/bf01060956

Differential operators determining solutions of Elliptic equations

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Abstract

We construct differential operatorsLg(z), Kg(z), Nf¯(z), Mf¯z) which map arbitrary functions holomorphic in a simply connected domainD of the planez=x+iy into regular solutions of the equation $$W_{z\bar z} + A(z,\bar z)W_{\bar z} + B(z,\bar z)W = 0$$ and present examples of the application of these differential operators to the solution of fundamental boundary-value problems in mathematical physics.

Related Organizations

Taras Shevchenko National University of Kyiv
Ukraine
IE University
Spain

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