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Dependence of fractional powers of elliptic operators on boundary conditions

Pavel E. Sobolevskii — 1992

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.

Well-posedness of difference elliptic equation.

Sobolevskii, Pavel E. — 1997

Discrete Dynamics in Nature and Society

Two new approaches for construction of the high order of accuracy difference schemes for hyperbolic differential equations.

Ashyralyev, Allaberen; Sobolevskii, Pavel E. — 2005

Discrete Dynamics in Nature and Society

Well-posedness of the difference schemes of the high order of accuracy for elliptic equations.

Ashyralyev, Allaberen; Sobolevskiĭ, Pavel E. — 2006

Discrete Dynamics in Nature and Society

A note on the parabolic differential and difference equations.

Ashyralyev, Allaberen; Sozen, Yasar; Sobolevskii, Pavel E. — 2007

Abstract and Applied Analysis

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