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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

Spectral theory for boundary value problems for elliptic systems of mixed order


Authors: Giuseppe Geymonat and Gerd Grubb
Journal: Bull. Amer. Math. Soc. 80 (1974), 1255-1259
MSC (1970): Primary 35J45, 47B30, 35P20
MathSciNet review: 0352726
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  • 1. S. Agmon, A. Douglis, and L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. II, Comm. Pure Appl. Math. 17 (1964), 35–92. MR 0162050 (28 #5252)
  • 2. M. S. Baouendi and G. Geymonat, Transposition des problèmes aux limites elliptiques, Symposia Mathematica, Vol. VII (Convegno sulle Equazioni Ipoellittiche e Spazi Funzionali, INDAM, Rome, 1970), Academic Press, London, 1971, pp. 421–441 (French). MR 0361431 (50 #13876)
  • 3. Louis Boutet de Monvel, Boundary problems for pseudo-differential operators, Acta Math. 126 (1971), no. 1-2, 11–51. MR 0407904 (53 #11674)
  • 4. Gerd Grubb, Weakly semibounded boundary problems and sesquilinear forms, Ann. Inst. Fourier (Grenoble) 23 (1973), no. 4, 145–194 (English, with French summary). MR 0344669 (49 #9408)
  • 5. G. Grubb, Essential spectra of elliptic systems on compact manifolds, Spectral Analysis (C. I. M. E., 1973), Edizioni Cremonese, Roma, 1974, pp. 141-170.
  • 6. B. R. Vaĭnberg and V. V. Grušin, Uniformly nonelliptic problems. II, Mat. Sb. (N.S.) 73 (115) (1967), 126–154 (Russian). MR 0217463 (36 #552)
  • 7. František Wolf, On the essential spectrum of partial differential boundary problems., Comm. Pure Appl. Math. 12 (1959), 211–228. MR 0107750 (21 #6472)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1974-13705-5
PII: S 0002-9904(1974)13705-5