Solvability of Nonlocal Elliptic Problems in Sobolev Spaces, II

Russian Journal of Mathematical Physics

Volumn 11, Issue 1, 2004, Pages 1-44

  Gurevich, P L ^a  

^a MOSCOW AVIATION INSTITUTE NATIONAL RESEARCH UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842579246     PISSN: 10619208     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (46)

1. Feller, W., Diffusion Processes in One Dimension, Trans. Amer. Math. Soc., 1954, vol. 77, pp. 1-31.
2. Samarskii, A. A., On Some Problems of the Theory of Differential Equations, Differentsial'nye Uravneniya, 1980, vol. 16. no. 11, pp. 1925-1935; English transl. in Different. Equat., 1980, vol. 16.
3. Samarskii, A. A., On Some Problems of the Theory of Differential Equations, Differentsial'nye Uravneniya, 1980, vol. 16. no. 11, pp. 1925-1935; English transl. in Different. Equat., 1980, vol. 16.
4. Onanov, G. G., Skubachevskii, A. L., Differential Equations with Deviating Arguments in Stationary Problems in the Mechanics of Deformable Bodies, Prikladnaya Mekhanika, 1979, vol. 15, pp. 39-47; English transl. in Soviet Applied Mech., 1979, vol. 15.
5. Onanov, G. G., Skubachevskii, A. L., Differential Equations with Deviating Arguments in Stationary Problems in the Mechanics of Deformable Bodies, Prikladnaya Mekhanika, 1979, vol. 15, pp. 39-47; English transl. in Soviet Applied Mech., 1979, vol. 15.
6. Sommerfeld, A., Ein Beitrag zur hydrodinamischen Erklärung der turbulenten Flussigkeitsbewegungen, Proc. Intern. Congr. Math. (Rome, 1908), Reale Accad. Lincei. Roma., 1909, vol. 3, pp. 116-124.
7. Tamarkin, J. D., Some General Problems of the Theory of Ordinary Linear Differential Equations and Series Expansion of Arbitrary Functions, Petrograd, 1917; Abridged English translation in vol. 27, 1927, pp. 1-54.
8. Picone, M., Equazione Integrale Traducente il Più Generale Problema Lineare per le Equazioni Differenziali Lineari Ordinarie di Qualsivoglia Ordine, Academia nazionale dei Lincei. Atti dei convegni., 1932, vol. 15, pp. 942-948.
9. Carleman, T., Sur la théorie des equations intégrales et ses applications, Verhandlungen des Internat. Math. Kongr. Zürich., 1932, vol. 1, pp. 138-151.
10. Bitsadze, A. V. and Samarskii, A. A., Some Elementary Generalizations of Linear Elliptic Boundary Value Problems, Dokl. Akad. Nauk SSSR, 1969, vol. 185, pp. 739-740; English transl. in Soviet Math. Dokl., 1969, vol. 10.
11. Bitsadze, A. V. and Samarskii, A. A., Some Elementary Generalizations of Linear Elliptic Boundary Value Problems, Dokl. Akad. Nauk SSSR, 1969, vol. 185, pp. 739-740; English transl. in Soviet Math. Dokl., 1969, vol. 10.
12. Eidelman, S. D. and Zhitarashu, N. V., Nonlocal Boundary Value Problems for Elliptic Equations, Mat. Issled., 1971, vol. 6, no. 2 (20), pp. 63-73.
13. Roitberg, Ya. A. and Sheftel', Z. G., Nonlocal Problems for Elliptic Equations and Systems, Sib. Mat. Zh., 1972, vol. 13. pp. 165-181; English transl. in: Siberian Math. J., 1972, vol. 13.
14. Roitberg, Ya. A. and Sheftel', Z. G., Nonlocal Problems for Elliptic Equations and Systems, Sib. Mat. Zh., 1972, vol. 13. pp. 165-181; English transl. in: Siberian Math. J., 1972, vol. 13.
15. Kishkis, K. Yu., The Index of the Bitsadze-Samarskii Problem for Harmonic Functions, Differentsial'nye Uravneniya, 1988, vol. 24, no. 1, pp. 105-110; English transl. in: Different. Equat., 1988, vol. 24.
16. Kishkis, K. Yu., The Index of the Bitsadze-Samarskii Problem for Harmonic Functions, Differentsial'nye Uravneniya, 1988, vol. 24, no. 1, pp. 105-110; English transl. in: Different. Equat., 1988, vol. 24.
17. Gushchin, A. K. and Mikhailov, V. P., On the Solvability of Nonlocal Problems for a Second-Order Elliptic Equation, Mat. Sb., 1994, vol. 185, pp. 121-160; English transl. in: Math. Sb., 1994, vol. 185.
18. Gushchin, A. K. and Mikhailov, V. P., On the Solvability of Nonlocal Problems for a Second-Order Elliptic Equation, Mat. Sb., 1994, vol. 185, pp. 121-160; English transl. in: Math. Sb., 1994, vol. 185.
19. Skubachevskii, A. L., Nonlocal Elliptic Problems with a Parameter, Mat. Sb., 1983, vol. 121 (163), pp. 201-210; English transl, in: Math. USSR Sb., 1984, vol. 49.
20. Skubachevskii, A. L., Nonlocal Elliptic Problems with a Parameter, Mat. Sb., 1983, vol. 121 (163), pp. 201-210; English transl, in: Math. USSR Sb., 1984, vol. 49.
21. Skubachevskii, A. L., Elliptic Problems with Nonlocal Conditions Near the Boundary, Mat. Sb., 1986, vol. 129 (171), pp. 279-302; English transl, in: Math. USSR Sb., 1987, vol. 57.
22. Skubachevskii, A. L., Elliptic Problems with Nonlocal Conditions Near the Boundary, Mat. Sb., 1986, vol. 129 (171), pp. 279-302; English transl, in: Math. USSR Sb., 1987, vol. 57.
23. Skubachevskii, A. L., Model Nonlocal Problems for Elliptic Equations in Dihedral Angles, Differentsial'nye Uravneniya, 1990, vol. 26, pp. 120-131; English transl, in: Different. Equat., 1990, vol. 26.
24. Skubachevskii, A. L., Model Nonlocal Problems for Elliptic Equations in Dihedral Angles, Differentsial'nye Uravneniya, 1990, vol. 26, pp. 120-131; English transl, in: Different. Equat., 1990, vol. 26.
25. Skubachevskii, A. L., The Method of Cut-Off Functions in the Theory of Nonlocal Problems, Differentsial'nye Uravneniya, 1991, vol. 27, pp. 128-139; English transl, in: Different. Equat., 1991, vol. 27.
26. Skubachevskii, A. L., The Method of Cut-Off Functions in the Theory of Nonlocal Problems, Differentsial'nye Uravneniya, 1991, vol. 27, pp. 128-139; English transl, in: Different. Equat., 1991, vol. 27.
27. Skubachevskii, A. L., Elliptic Functional-Differential Equations and Applications. Basel: Birkhäuser, 1997.
28. Kovaleva, O. A. and Skubachevskii, A. L., Solvability of Nonlocal Elliptic Problems in Weighted Spaces, Mat. Zametki., 2000, vol. 67, pp. 882-898; English transl, in: Math. Notes., 2000, vol. 67.
29. Kovaleva, O. A. and Skubachevskii, A. L., Solvability of Nonlocal Elliptic Problems in Weighted Spaces, Mat. Zametki., 2000, vol. 67, pp. 882-898; English transl, in: Math. Notes., 2000, vol. 67.
30. Skubachevskii, A. L., Regularity of Solutions of a Nonlocal Elliptic Problem, Russ. J. Math. Phys., 2001, vol. 8, no. 3, pp. 365-374.
31. Gurevich, P. L., Nonlocal Problems for Elliptic Equations in Dihedral Angles and the Green Formula, Mitt. Math. Sem. Giessen, 2001, vol. 247, pp. 1-74.
32. Kondrat'ev, V. A., Boundary Value Problems for Elliptic Equations in Domains with Conical or Angular Points, Trudy Moskov. Mat. Obshch., 1967, vol. 16, pp. 209-292; English transl, in: Trans. Moscow Math. Soc., 1967, vol. 16.
33. Kondrat'ev, V. A., Boundary Value Problems for Elliptic Equations in Domains with Conical or Angular Points, Trudy Moskov. Mat. Obshch., 1967, vol. 16, pp. 209-292; English transl, in: Trans. Moscow Math. Soc., 1967, vol. 16.
34. Lions, J. L. and Magenes, E., Non-Homogeneous Boundary Value Problems and Applications, vol. 1, New York-Heidelberg: Springer-Verlag, 1973.
35. Gohberg, I. C. and Sigal, E. I., An Operator Generalization of the Logarithmic Residue Theorem and Rouché's Theorem. Mat. Sb., 1971, vol. 84 (126), pp. 607-629; English transl, in: Math. USSR Sb., 1971, vol. 13.
36. Gohberg, I. C. and Sigal, E. I., An Operator Generalization of the Logarithmic Residue Theorem and Rouché's Theorem. Mat. Sb., 1971, vol. 84 (126), pp. 607-629; English transl, in: Math. USSR Sb., 1971, vol. 13.
37. Riesz, F. and Sz.-Nagy, Leçons d'Analyse Fonctionnelle, Deuxième édition, Budapest: Akademiai Kiado, 1953.
38. Stein, E. M., Singular Integrals and Differentiability Properties of Functions, Princeton: Princeton Univ. Press, 1970.
39. Agranovich, M. S. and Vishik, M. I., Elliptic Problems with a Parameter and Parabolic Problems of General Type, Uspekhi Mat. Nauk, 1964, vol. 19, pp. 53-161; English transl. in: Russian Math. Surveys, 1964, vol. 19.
40. Agranovich, M. S. and Vishik, M. I., Elliptic Problems with a Parameter and Parabolic Problems of General Type, Uspekhi Mat. Nauk, 1964, vol. 19, pp. 53-161; English transl. in: Russian Math. Surveys, 1964, vol. 19.
41. Volevich, L. R., Solvability of Boundary Value Problems for General Elliptic Systems, Mat. sb., 1965, vol. 68, no. 3, pp. 373-416.
42. Krein, S. G., Linear Equations in Banach Spaces, Nauka, Moscow, 1971; English transl. in: Birkhäuser, Boston, 1982.
43. Gurevich, P. L., Asymptotics of Solutions for Nonlocal Elliptic Problems in Plane Angles, Trudy Sem. Petrovsk., 2003, vol. 23; English transl. in:, J. Math. Sci., vol. 120, no. 3, pp. 1295-1312.
44. Gurevich, P. L., Asymptotics of Solutions for Nonlocal Elliptic Problems in Plane Angles, Trudy Sem. Petrovsk., 2003, vol. 23; English transl. in:, J. Math. Sci., vol. 120, no. 3, pp. 1295-1312.
45. p-Estimates of Solutions of Elliptic Boundary Value Problems in Domains with Ribs, Trudy Moskov. Mat. Obshch., 1978, vol. 37, pp. 49-97; English transl. in: Trans. Moscow Math. Soc., 1980, vol. 1.
46. p-Estimates of Solutions of Elliptic Boundary Value Problems in Domains with Ribs, Trudy Moskov. Mat. Obshch., 1978, vol. 37, pp. 49-97; English transl. in: Trans. Moscow Math. Soc., 1980, vol. 1.