×

On non-homogeneous boundary value problems for elliptic differential operators. (English) Zbl 0266.35027


MSC:

35J40 Boundary value problems for higher-order elliptic equations
35B45 A priori estimates in context of PDEs
35D10 Regularity of generalized solutions of PDE (MSC2000)
35S15 Boundary value problems for PDEs with pseudodifferential operators
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
Full Text: DOI

References:

[1] AGRANOVIC, M. S., Elliptic singular mtegrodifferential operators. Russian Math. Surveys 20(1965) 2-116.
[2] BEALS, R., Non-local boundary value problems for elliptic operators. Amer. J. Math. 87(1965), 315-362, [3] BOUTET DEMONVEL, L., Comportement d’un operateur pseudo-differentiel sur un vaete a bord. J. Analyse Math. 17 (1966), 241-304. · Zbl 0134.31302 · doi:10.2307/2373008
[3] CALDERON, A. P., Boundary value problems for elliptic equations. Outlines of th Joint Soviet-American Symposium on Partial Differential Equations, Novosibirsk (1963), 303-304.
[4] HORMANDER, L., Pseudo-differential operators and non-elliptic boundary problems Ann. of Math. 83 (1966), 129-209. · Zbl 0132.07402 · doi:10.2307/1970473
[5] HORMANDER, L., Linear partial differential operators. Springer, Berlin (1963)
[6] KREE, P., Problemes aux limites en theoe des distributions. Ann. Mat. Pur Appl. 83 (1969), 113-131. · Zbl 0213.37605 · doi:10.1007/BF02411162
[7] LIONS, J. L., AND E. MAGENES, Problemes aux limites non-homogenes et applica tions, vol. 1. Dunod, Paris (1968).
[8] PALAIS, R., Seminar on the Atiyah-Singer index theorem. Annals of Mathematic studies, no. 57, Princeton University Press, Princeton, New Jersey (1965). · Zbl 0137.17002
[9] SEELEY, R. T., Topics in pseudo-differential operators, Pseudo-differential operators C. I. M. E., Stresa (1968), 167-305, Edizioni Cremonese, Rome (1969).
[10] SEELEY, R. T., Singular integrals and boundary value problems. Amer. J. Math. 8 (1966), 781-809. · Zbl 0178.17601 · doi:10.2307/2373078
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.