Elliptic boundary value problems in unbounded domains with noncompact and nonsmooth boundaries
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Kondrat'ev V. A. andOleinik O. A.,Boundary-value problems for partial differential equations in non-smooth domains, Russian Mathematical Surveys (London Math. Soc.), vol. 38 (1983), pp. 1–86.
Mazja V. G. andPlamenevskii B. A.,Estimates in L p and in the Hölder classes and Miranda-Agmon's principle for the solvability of elliptic boundary value problems in domains with irregular points on the boundary, (Russian), Math. Nachr., Bd. 81 (1978), p. 25–82.
Bogovskiî M. E.,Decomposition of L p (Ω: ℝ n )into a direct sum of subspaces connected with solenoidal and potential vector fields. (Russian), Dokl. Akad. Nauk. S.S.S.R. 286 (1986), p. 781–786.
Heywood J. G.,On uniqueness questions in the theory of viscous flow, Acta Math., vol. 136 (1976), pp. 61–102.
Bogovskiî M. E.,On the L p -theory of the Navier-Stokes system for unbounded domain with noncompact boundaries, Soviet Math. Dokl., vol. 22 (1980), pp. 809–814.
Maslennikova V. N. andBogovskiî M. E.,Approximation of solenoidal and potential vector fields in Sobolev spaces and problems of Mathematical Physics. (Russian) contained in the book:Partial Differential Equations Nauka, Novosibirsk (1986), p. 129–137.
Grisvard P.,Elliptic problems in nonsmooth domains, Boston-London-Melbourne, Pitman Advanced Publications Program, 1985, 410 p.