Sectorial differential-difference operators with degeneration

A priori estimates was obtained for solutions of elliptic differential difference equations with degeneracy containing several different difference operators and constructed the Friedrichs extension of the corresponding sectorial operator. The Friedrichs extension of the differential difference operator LR was constructed and the properties of this extension were studied.

Number of issue
2
Language
English
Pages
716-719
Status
Published
Volume
80
Year
2009
Organizations
  • 1 Peoples' Friendship University, ul. Miklukho-Maklaya 6, Moscow 117198, Russian Federation
Keywords
A-priori estimates; Difference operators; Differential-difference equations; Differential-difference operator; Friedrichs extension; Sectorial operator; Mathematical operators; Nonlinear equations; Difference equations
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