Nonlocal elliptic boundary value problems

Martin Schechter

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1966)

  • Volume: 20, Issue: 2, page 421-441
  • ISSN: 0391-173X

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Schechter, Martin. "Nonlocal elliptic boundary value problems." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.2 (1966): 421-441. <http://eudml.org/doc/83387>.

@article{Schechter1966,
author = {Schechter, Martin},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {partial differential equations},
language = {eng},
number = {2},
pages = {421-441},
publisher = {Scuola normale superiore},
title = {Nonlocal elliptic boundary value problems},
url = {http://eudml.org/doc/83387},
volume = {20},
year = {1966},
}

TY - JOUR
AU - Schechter, Martin
TI - Nonlocal elliptic boundary value problems
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1966
PB - Scuola normale superiore
VL - 20
IS - 2
SP - 421
EP - 441
LA - eng
KW - partial differential equations
UR - http://eudml.org/doc/83387
ER -

References

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  1. 1 Martin Schechter, General boundary value problems for elliptic partial differential equations, Comm. Pure Appl. Math.12 (1960) 457-486. Zbl0087.30204MR125323
  2. 2 Martin Schechter, On LP estimates and regularity I, Amer. J. Math, 85 (1963) 1-13. Zbl0113.30603MR188615
  3. 3 J.L. Lions, Theorems de trace et d'interpolation (I), Ann. Scuola Norm. Sup. Pisa, (3) 13 (1959) 389-403. Zbl0097.09502MR119092
  4. 4 Martin Schechter, On LP estimates and regularity III, Ricerche di Matematica, 13 (1964) 192-206. Zbl0178.46002MR179465
  5. 5 Nachman Aronszajn and A.N. Milgram, Differential operators on Riemannian manifolds, Rend. Circ. Mat. Palermo, (2) 2 (1953) 1-11. Zbl0053.06502MR64255
  6. 6 Martin Schechter, On LP estimates and regularity II, Math. Scand.13 (1963) 47-69. Zbl0131.09505MR188616
  7. 7 J.L. Lionsand Jaak Peetre, Sur une classe d'espaces d'interpolation, Inst. Hautes Etudes Sci. Publ. Math., 19 (1964) 5-68. Zbl0148.11403MR165343
  8. 8 Martin Schechter, Various types of boundary conditions for elliptic equations, Comm. Pure Appl. Math.13 (1960) 407-425. Zbl0095.08002MR125332
  9. 9 Martin Schechter, On the theory of differential boundary problems, Illinois J. Math., 7 (1963) 232-245. Zbl0135.15304MR197935
  10. 10 J.L. Lions and Enrico Magenes, Problemi ai limiti non omogenei, (V), Ann. Scuola Norm. Sup. Pisa, (3) 16 (1962) 1-44. Zbl0115.31401MR146527
  11. 11 A.P. Calderon, Intermediate spaces and interpolation, the complex method, Studia Math., 24 (1964) 113-190. Zbl0204.13703MR167830
  12. 12 R.W. Beals, A note on the adjoint of a perturbed operator, Bull. Amer. Math. Soc., 70 (1964) 314-315. Zbl0125.35201MR158267
  13. 13 R.W. Beals, Nonlocal elliptic boundary value problems, Ibid.. 70 (1964) 693-696. Zbl0125.33301MR167700
  14. 14 R.W. Beals, Non-local boundary value problems for elliptic partial differential operators, dissertation, Yale University, 1964. 
  15. 15 J.W. Calkin, Abstract symmetric boundary conditions, Trans. Amer. Math. Soc., 45 (1939) 360-442. Zbl0021.13802MR1501997JFM65.0511.01
  16. 16 W.G. Bade and R.S. Freeman, Closed extensions of the Laplace operator determined by a general class of boundary conditions, Pacific J. Math., 12 (1962) 395-410. Zbl0198.17403MR165132
  17. 17 R.S. Freeman, On Closed extensions of second order formally self-adjoint uniformly elliptic differential operators (to appear). 
  18. 18 A.S. Dynin, Multidimensional elliptic boundary value problems with a single unknown function, Dokl. Akad. Nauk SSSR, 141 (1961) 285-287; Soviet Math., 2 (1961) 1431-1433. Zbl0125.34802MR149068
  19. 19 M.S. Agronovich and A.S. Dynin, General boundary-value problems for elliptic systems in an n-dimensional domain, Dokl. Akad. Nauk SSSR, 146 (1962) 511-514; Soviet Math.3 (1962) 1323-1327. Zbl0132.35403MR140820
  20. 20 M.I. Visik, On general boundary value problems for elliptic partial differential equations, Trudy Moskov. Mat. Obšč., 1 (1952) 187-246; Amer. Math. Soc. Transl. (2) 24 (1963) 107-172. MR51404
  21. 21 Lars Hörmander, On the theory of general partial differential operators, Acta Math., 94 (1955) 161-248. Zbl0067.32201MR76151
  22. 22 F.E. Browder, Functional analysis and partial differential equations, II, Math. Ann., 145 (1962) 81-226. Zbl0103.31602MR136857
  23. 23 F.E. Browder, Analyticity and partial differential equations, I, Amer. J. Math., 84, (1962) 666-710. Zbl0124.31004MR150463
  24. 24 F.E. Browder, Analyticity and partiat differential equations, II, to appear. 
  25. 25 F.E. Browder, Non-local elliptic boundary valule problems, to appear. MR171989
  26. 26 Jaak Peetre, Théorèmes de régularité pour quelques classes d' opérateurs différentiels Thesis, Lund, 1959. Zbl0139.28402MR133593
  27. 27 R.S. Phillips, Dissipative operators of hyperbolic systems of partial differential equations, Trans. Amer. Math. Soc., 90 (1959) 193-254. Zbl0093.10001MR104919
  28. 28 Martin Schechter, On the theory of differential boundary problems, Illinois J. Math., 7 (1963) 232-245. Zbl0135.15304MR197935
  29. 29 R.S. Freeman, Closed operators and their adjoints associated with elliptic differential operators, to appear. Zbl0168.08405MR216335

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