The first boundary value problem in domains with a complicated boundary for higher order equations

Mathematics of the USSR - Sbornik

Volumn 32, Issue 4, 1977, Pages 535-549

  Hruslov, E Ja ^a   Smith, S ^a  

^a NONE

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EID: 0009918328     PISSN: 00255734     EISSN: 21695288     Source Type: Journal    
DOI: 10.1070/SM1977v032n04ABEH002405     Document Type: Article

References (7)

1. E. Ja. Hruslov, The method of orthogonal projections and the Dirichlet problem in domains with a fine-grained boundary, Mat. Sb. 88 (130) (1972), 38-60; English transl. in Math. USSR Sb. 17 (1972).
2. V. G. Maz’ja, Polyharmonic capacity in the theory of the first boundary-value problem, Sibirsk. Mat. Z. 6 (1965), 127-148. (Russian)
3. E. Ja. Hruslov, On conditions for the convergence of a sequence of solutions of the first boundary value problem, Teor. Funkcil Funkcional. Anal, i Prilozen. Vyp. 12 (1970), 103-110. (Russian)
4. A. A. Samarskiĭ, On the influence of constraints on the characteristic frequencies of closed volumes, Dokl. Akad. Nauk SSSR 63 (1948), 631-634. (Russian)
5. E. Ja. Hruslov, Boundary value problems in domains with a fine-grained boundary, All-Union Conf. Partial Differential Equations on the 75th Birthday of the late I. G. Petrovskii, Abstracts of Reports, Izdat. Moskov. Gos. Univ., Moscow, 1976. (Russian)
6. V. A. Marcenko and E. Ja. Hruslov, Boundary value problems in domains with a fine-grained boundary, “Naukova Dumka”, Kiev, 1974.
7. V. A. Kondrat’ev, Solvability of the first boundary value problem for strongly elliptic equations, Trudy Moskov. Mat. Obsc. 16 (1967), 293-318; English transl. in Trans. Moscow Math. Soc. 16 (1967).