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Boutet de Monvel, L.

Boundary problems for pseudo-differential operators. (English) Zbl 0206.39401

Acta Math. 126, 11-51 (1971).
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Cited in 22 Reviews
Cited in 252 Documents

MSC:

35S15 Boundary value problems for PDEs with pseudodifferential operators
47L60 Algebras of unbounded operators; partial algebras of operators
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\textit{L. Boutet de Monvel}, Acta Math. 126, 11--51 (1971; Zbl 0206.39401)
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References:

[1] Atiyah, M. F.,K-theory. Benjamin, New York 1967.
[2] –,Bott periodicity and the index of elliptic operators.Quart. J. Math., 19 (1968), 113–140. · Zbl 0159.53501
[3] Atiyah, M. F. &Bott, R., The index problem for manifolds with boundary.Coll. Differential Analysis, Tata Institute, Bombay, Oxford University Press 1964, 175–186.
[4] Atiyah, M. F. andSinger, I. M., The index of elliptic operators.Ann. of Math., 87 (1968) 434–530.
[5] Boutet de Monvel, L., Comportement d’un opérateur pseudo différential sur une variété à bord.J. Anal. Math., 17 (1966), 241–304. · Zbl 0161.07902
[6] –, Operateurs pseudo différentiels analytiques et problèmes aux limites elliptiques.Ann. Inst. Fourier, 19 (1969), 163–268. · Zbl 0176.08703
[7] Hörmander, L., Pseudo-differential operators and hypoelliptic equations.Amer. Math. Soc. Proc. Symp. Pure Appl. Math., 10 (1968), 138–183.
[8] Hörmander, L., Fourier integral operators.Acta Math. (to appear). · Zbl 0235.47024
[9] Kohn, J. J. &Nirenberg, L., An algebra of pseudo-differential operators.Comm. Pure Appl. Math., 18 (1965), 269–305. · Zbl 0171.35101
[10] Shamir, E., Elliptic systems of singular integral operators.Trans. Amer. Math. Soc., 127 (1967), 107–124. · Zbl 0157.19303
[11] Višik, M. I. &Eskin, G. I., Normally solvable problems for elliptic systems of equations in convolutions.Mat. Sbornik, 74 (116) (1967), 326–356.
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