Elliptic Functional Differential Equations with Degenerations

Abstract: This review is devoted to differential-difference equations with degeneration in a bounded domain Q(Formula presented.).Rn and applications (Kato conjecture, nonlocal boundary value problem). We consider differential-difference operators with degeneration of the second order and generalization to 2m-order and the case where differential-difference operator contains several degenerate difference operators with degeneration. Generalized solutions of such equations may not belong even to the Sobolev space W1_2(Q). © 2020, Pleiades Publishing, Ltd.

Authors
Popov V.A. 1
Journal
Lobachevskii Journal of Mathematics
Publisher
Pleiades Publishing
Number of issue
5
Language
English
Pages
869-894
Status
Published
Link
External link
DOI
10.1134/S199508022005011X
Volume
41
Year
2020
Organizations
  • 1 Peoples’ Friendship University of Russia, Moscow, 117198, Russian Federation
Keywords
a priori estimates; boundary value problem; degeneration; differential difference equation; Kato conjecture; nonlocal problem; smoothness of generalized solution
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64761/
Share

Other records

CLUSTER APPROACH TO THE DEVELOPMENT OF RURAL TOURISM

Article
Kulagina E.V., Lukina O.V., Gritsay M.A., Balgabayeva V.T., Dyuzheva M.B.
International Journal of Advanced Science and Technology. Science and Engineering Research Support Society. Vol. 29. 2020. P. 1240-1255