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.

Authors
Popov V.A. 1 , Skubachevskii A.L. 1
Journal
Doklady Mathematics
Number of issue
2
Language
English
Pages
716-719
Status
Published
Link
External link
DOI
10.1134/S1064562409050226
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
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2911/
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