Mixed boundary value problems for elliptic equations in the plane. The theory

E. Shamir

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1963)

  • Volume: 17, Issue: 1-2, page 117-139
  • ISSN: 0391-173X

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Shamir, E.. "Mixed boundary value problems for elliptic equations in the plane. The $L^p$ theory." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 17.1-2 (1963): 117-139. <http://eudml.org/doc/83293>.

@article{Shamir1963,
author = {Shamir, E.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {1-2},
pages = {117-139},
publisher = {Scuola normale superiore},
title = {Mixed boundary value problems for elliptic equations in the plane. The $L^p$ theory},
url = {http://eudml.org/doc/83293},
volume = {17},
year = {1963},
}

TY - JOUR
AU - Shamir, E.
TI - Mixed boundary value problems for elliptic equations in the plane. The $L^p$ theory
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1963
PB - Scuola normale superiore
VL - 17
IS - 1-2
SP - 117
EP - 139
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83293
ER -

References

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  1. 1 Agmon, S.The LP approach to the Dirichlet problem, Annali di Pisa, 13 (1959), 49-92. Zbl0108.10203MR125306
  2. 2 Agmon, S., Dougli, A. and Nirenberg, L.Estimates near the boundary for solutions of elliptic partial differential equations satisfying general bonudary conditions. Comm. Pure Appl. Math.12 (1959), 623-727. Zbl0093.10401MR125307
  3. 3 Aronszajn, N. and Smith, K.T.Theory of Bessel potentials (I). Annales Inst. Fourier11 (1961), 385-475. (II-to appear). Zbl0102.32401MR143935
  4. 4 Browder, F.E.Estimates and existence theorems for elliptic boundary value problemsProo. Nat. Acad. Sci U. S. A.45 (1959), 365-372. Zbl0093.29402MR132913
  5. 5 Browder, F.E.A priori estimates for solutions of elliptic boundary value problems (I) (II). Konink. Ned. Akad. Van Wetenschap22 (1960), 145-159, 160-169. Zbl0096.30202MR123819
  6. 6 Calderon, A.P. and Zygmund, A.On singular integrals. Amer J. Math.78 (1956), 289-309. Zbl0072.11501MR84633
  7. 7 Lions, J.L.Théorèmes de traces et d'interpolation (I). Annali di Pisa13 (1959), 389-403. Zbl0097.09502MR119092
  8. 8 Lions, J.L.Equations differentielles operationelles et problèmes aux limites, Springer Verlag, Berlin, Göttingen, Heidelberg, 1961. Zbl0098.31101MR153974
  9. 9 Lions, J.L. and Magenes, E.Problemi ai limiti non omogenei (III)Annali di Pisa15 (1961), 39-101. MR146526
  10. 10 Lions, J.L.Problemes aux limites non homogènes (IV)Annali di Pisa15 (1961), 311-326. Zbl0115.31302MR140938
  11. 11 Lions, J.L. and Magenes, E.Problemi ai limiti non omogenei (V). Annali di Pisa16 (1962), 1-44. Zbl0115.31401MR146527
  12. 12 Muskhelishvili, W.I.Singular integral equation (English translation)P. Nordhoff N. V, Groningen, 1953. Zbl0051.33203
  13. 13 Nikolski, M.On the imbedding, continuation and approximation theorems for differentiable functions in many variables. Usp. Mat. Nauk.16, 5 (1961), 63-114. Zbl0117.29101MR149267
  14. 14 Peetre, J.Another approach to elliptic boundary problems. Comm. Pure Appl. Math.14 (1961) 711-731. Zbl0104.07303MR171069
  15. 15 Peetre, J.Mixed problems for higher order elliptic equations in two variables (I). Annali di Pisa15 (1961), 337-353. Zbl0108.28802MR140826
  16. 16 Schechter, M.General boundary value problems for elliptic partial differential equations. Comm. Pure App. Math.12 (1959), 451-485. Zbl0087.30204MR125323
  17. 17 Schechter, M.Mixed problems for higher order elliptic equations. Comm. Pure App. Math.13 (1960), 407-425. Zbl0095.08002MR125331
  18. 18 Schechter, M.Some LP estimates for partial differential equations. Bull. Amer. Math. Soo.68 (1962), 470-474. Zbl0113.30602MR139854
  19. 19 Shamir, E.Évaluations dans Ws,p pour des problèmes aux limites elliptiques mixtes dans le plan. C. P. Acad. Sci. Paris254 (1962), 3621-3623. Zbl0123.07402MR139841
  20. 20 Uspenski, S.V.An imbedding theorem for Sobolev classes of fractional order. Dok Akad. Nauk S. S. S. R, 130 (1960), 992-993. Zbl0103.08205MR124731
  21. 21 Uspenski, S.V.Properties of the classes Wr,p of fractional derivates on differentiable manifolds, Dok. Akad. Nauk S. S. S. R.132 (1960), 60-62. Zbl0103.08204MR124732
  22. 22 Shamir, E.Reduced Hilbert transforms and singular integral equations. The appear in J. D'analyse Math., (1964). Zbl0173.14502MR165328

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