Positivity of elliptic difference operators and its applications

AIP Conference Proceedings

Volumn 1470, Issue , 2012, Pages 232-235

  Semenova, Galina E ^a  

^a NORTH EASTERN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

Differential Operators; Holder Spaces; Positivity; Well Posedness

Indexed keywords

EID: 84873266683     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.4747683     Document Type: Conference Paper

References (13)

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8. B. A. Neginskii, P. E. Sobolevskii, Difference Analogue of Theorem on Inclosure an Interpolation Inequalities, in Proceedings of Faculty of Mathematics, Voronezh State University, Voronezh, 1970, pp. 72-81.
9. Yu. A. Simirnitskii, P. E. Sobolevskii, Usp. Mat. Nauk. 36(4), 202-203 (1981) (Russian).
10. S. I. Danelich, Fractional Powers of Positive Difference Operators, Ph.D. Thesis, Voronezh State University, Voronezh, 394006 (1989) (Russian).
11. A. Ashyralyev, B. Kendirli, Positivity in Ch of One Dimensional Difference Operators with Nonlocal Boundary Conditions, in Some Problems of Applied Mathematics, edited by A. Ashyralyev, and H. A. Yurtsever, Fatih University, Istanbul, Turkey, 2000, pp. 45-60.
12. S. I. Primakova, The Coercive Stability of Difference Schemes for Some of Elliptic Equations of High Orders, Dep. in VINITI 18.05.79, 1783-79 DEP.(Russian).
13. S. I. Primakova, P. E. Sobolevskii, Differential Equations, 10 (9) 1699-1713 (1974).(Russian).