Basis property of eigenfunctions of the Frankl problem with a nonlocal evenness condition and with a discontinuity in the solution gradient |
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Authors: | E I Moiseev N Abbasi |
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Affiliation: | 1.Moscow State University,Moscow,Russia;2.Computer Center,Russian Academy of Sciences,Moscow,Russia;3.University of Lorestan,Lorestan,Islamic Republic of Iran |
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Abstract: | In the present paper, we write out the eigenfunctions of the Frankl problem with a nonlocal evenness condition and with a discontinuity of the normal derivative of the solution on the line of change of type of the equation. We show that these eigenfunctions form a Riesz basis in the elliptic part of the domain. In addition, we prove the Riesz basis property on 0, π/2] of the system of cosines occurring in the expressions for the eigenfunctions. Earlier, the Riesz basis property was proved for the eigenfunctions of the Frankl problem with a nonlocal evenness condition and with continuous solution gradient. |
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