The method of orthogonal projections and the dirichlet problem in domains with a fine-grained boundary

Mathematics of the USSR - Sbornik

Volumn 17, Issue 1, 1972, Pages 37-59

  Hruslov, E Ja ^a  

^a NONE

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Indexed keywords

EID: 84956085612     PISSN: 00255734     EISSN: 21695288     Source Type: Journal    
DOI: 10.1070/SM1972v017n01ABEH001490     Document Type: Article

References (14)

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2. M. I. Višik, The method of orthogonal and direct decompositions in the theory of elliptic differential equations, Mat. Sb. 25 (67) (1949), 189-234. (Russian)
3. K. Maurin, Methods of Hilbert spaces, Monografie Math., vol. 36, PWN, Warsaw, 1959
4. K. Maurin, Russian transl., ”Mir”, Moscow, 1965
5. K. Maurin, English transl., Monografie Math., vol. 45, PWN, Warsaw, 1967
6. S. G. Mihlin, The problem of the minimum of a quadratic functional, GITTL, Moscow, 1952
7. S. G. Mihlin, English transl., Holden-Day Series in Math. Physics, Holden-Day, San Francisco, Calif., 1965
8. S. L. Sobolev, Applications of functional analysis in mathematical physics, Izdat. Leningrad. Gos. Univ., Leningrad, 1950
9. S. L. Sobolev, English transl., Transl. Math. Monographs, vol. 7, Amer. Math. Soc., Providence, R.I., 1963
10. G. Pólya and G. Szegö, Isoperimetric inequalities in mathematical physics, Ann. of Math. Studies, no. 27, Princeton Univ. Press, 1951
11. G. Pólya and G. Szegö, Russian transl., Fizmatgiz, Moscow, 1962
12. V. G. Maz 'ja, Polyharmonic capacity in the theory of the first boundary-value problem, Sibirsk. Mat. Ž. 6 (1965), 127- 148. (Russian)
13. Ju. M. Berezanskiĭ, Expansion in eigenfunctions of self-adjoint operators, “Naukova Dumka”, Kiev, 1965
14. Ju. M. Berezanskiĭ, English transl., Transl. Math. Monographs, vol. 17, Amer. Math. Soc., Providence, R.I., 1968