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Regularization of a continuation problem for electrodynamic equations

  • Vladimir G. Romanov ORCID logo EMAIL logo

Abstract

The problem of continuation of a solution of electrodynamic equations from the time-like half-plane S={xR3x3=0} inside the half-space R+3={xR3x3>0} is considered. A regularization method for a solution of this problem with approximate data is proposed, and the convergence of this method for the class of functions that are analytic with respect to space variables is stated.

MSC 2010: 35F45; 35L40; 35R25

Award Identifier / Grant number: 075-15-2019-1613

Funding statement: The work was supported by Mathematical Center in Akademgorodok at Novosibirsk State University (the agreement with Ministry of Science and Higher Education of the Russian Federation number 075-15-2019-1613).

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Received: 2020-02-08
Accepted: 2020-08-17
Published Online: 2020-09-15
Published in Print: 2020-11-01

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