Abstract <p> We study the solvability of the problem on the analytic continuation of the solution of thebiharmonic equation in a spatial domain based on the values of the solution itself and its partialderivatives of order <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\le 3\)</EquationSource> </InlineEquation> given on part of the boundary of the domain.</p>

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Criterion for the Solvability of the Cauchy Problem for the Biharmonic Equation in \(\mathbb {R}^3\) and Analytic Continuation of the Solution

  • O. I. Makhmudov,
  • I. E. Niyozov

摘要

Abstract

We study the solvability of the problem on the analytic continuation of the solution of thebiharmonic equation in a spatial domain based on the values of the solution itself and its partialderivatives of order \(\le 3\) given on part of the boundary of the domain.