On two classes of weighted Sobolev-Slobodetskiĭ spaces in a dihedral angle

J. Rossmann

Banach Center Publications (1992)

  • Volume: 27, Issue: 2, page 399-424
  • ISSN: 0137-6934

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Rossmann, J.. "On two classes of weighted Sobolev-Slobodetskiĭ spaces in a dihedral angle." Banach Center Publications 27.2 (1992): 399-424. <http://eudml.org/doc/262747>.

@article{Rossmann1992,
author = {Rossmann, J.},
journal = {Banach Center Publications},
keywords = {nonregular domains; regularity of solutions; quasi-polynomial; weighted Sobolev spaces; singularities of the boundary; weighted Sobolev- Slobodetskij spaces; dihedral angle; spaces of traces; elliptic boundary value problems},
language = {eng},
number = {2},
pages = {399-424},
title = {On two classes of weighted Sobolev-Slobodetskiĭ spaces in a dihedral angle},
url = {http://eudml.org/doc/262747},
volume = {27},
year = {1992},
}

TY - JOUR
AU - Rossmann, J.
TI - On two classes of weighted Sobolev-Slobodetskiĭ spaces in a dihedral angle
JO - Banach Center Publications
PY - 1992
VL - 27
IS - 2
SP - 399
EP - 424
LA - eng
KW - nonregular domains; regularity of solutions; quasi-polynomial; weighted Sobolev spaces; singularities of the boundary; weighted Sobolev- Slobodetskij spaces; dihedral angle; spaces of traces; elliptic boundary value problems
UR - http://eudml.org/doc/262747
ER -

References

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  1. [1] P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, Boston 1985. Zbl0695.35060
  2. [2] V. A. Kondrat'ev, Boundary value problems for elliptic equations on domains with conical or corner points, Trudy Moskov. Mat. Obshch. 26 (1967), 209-292 (in Russian). 
  3. [3] V. G. Maz’ya and B. A. Plamenevskiĭ, L p and Hölder estimates and the Miranda-Agmon maximum principle for solutions of elliptic boundary value problems in a domain with singular points on the boundary, Math. Nachr. 81 (1978), 25-82 (in Russian). 
  4. [4] V. G. Maz’ya and B. A. Plamenevskiĭ, L p -estimates for elliptic boundary value problems in domains with edges, Trudy Moskov. Mat. Obshch. 37 (1978), 49-93 (in Russian). 
  5. [5] V. G. Maz'ya and B. A. Plamenevskiĭ, Weighted spaces with inhomogeneous norms and boundary value problems in domains with conical points, in: Vorträge der Tagung 'Elliptische Differentialgleichungen', Rostock 1977, 161-190 (in Russian). 
  6. [6] V. G. Maz'ya und J. Roßmann, Über die Asymptotik der Lösungen elliptischer Randwertaufgaben in der Umgebung von Kanten, Math. Nachr. 138 (1988), 27-53. Zbl0672.35020
  7. [7] V. A. Nikishkin, Singularities of the solution of the Dirichlet problem for second order elliptic differential equations in the neighbourhood of an edge, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 34 (2) (1979), 51-62 (in Russian). 
  8. [8] J. Roßman, Über zwei Klassen von gewichteten Sobolevräumen in ebenen Gebieten mit Ecken und Anwendungen auf elliptische Randwertaufgaben, Rostock. Math. Kolloq. 29 (1986), 78-98. Zbl0627.46037
  9. [9] J. Roßman, Gewichtete Sobolev-Slobodezkij-Räume und Anwendungen auf elliptische Randwertaufgaben in Gebieten mit Kanten, doctoral thesis, University of Rostock, 1988. 
  10. [10] J. Roßman, The asymptotics of the solutions of linear elliptic variational problems near edges, Anal. Anwendungen 9 (6) (1990), 565-578. 
  11. [11] H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, Deutscher Verlag Wiss., Berlin 1978. Zbl0387.46033

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