Dauge, Monique Second membre analytique pour un problème aux limites elliptique d’ordre 2m sur un polygone. (French) Zbl 0549.35037 Commun. Partial Differ. Equations 9, 169-195 (1984). L’auteur présente, avec des méthodes différentes des résultats déjà classiques relatifs à la régularité des solutions des problèmes elliptiques dans un polygone: - Régularité de la solution et développment asymptotic, - Etude du cas analytique. On regrettera la pauvieté de la bibliographie. Reviewer: M.Merigot Cited in 2 Documents MSC: 35J40 Boundary value problems for higher-order elliptic equations 35C20 Asymptotic expansions of solutions to PDEs 35A20 Analyticity in context of PDEs Keywords:singularities; polygonial domain; regularity asymptotic expansion × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Agmon S., I. Comm. Pure Appl. Math 12 pp 623– (1959) · Zbl 0093.10401 · doi:10.1002/cpa.3160120405 [2] Agranovi M.S., Functionnal analysis and its applications 3 (10) pp 165– (1976) [3] Agranovi M.S., Russian Math. Surveys 19 (10) pp 53– (1964) · Zbl 0137.29602 · doi:10.1070/RM1964v019n03ABEH001149 [4] Baouendi M.S., Akr. for Mat 14 (10) pp 9– (1976) [5] Baouendi M.S., Ann. Scuola Norm. Sup. Pisa IV, IV 3 (10) pp 515– (1977) [6] Brahimi M., C.R. Acad. Sc. Paris 294 pp 9– (1977) [7] Geymonat G., C.R. Acad. Sc. Paris (1983) [8] Gohberg, I.C. and Krejn, M.G. 1972. ”Introduction á la théirues des opérateurs linéaires non auto–ad–joints”. Dunod. [9] Kellogg R.B., Journal of Functional Analysis 21 pp 397– (1972) · Zbl 0317.35037 · doi:10.1016/0022-1236(76)90035-5 [10] Kondrat’ev V.A., Trans. Moscow Math. Soc 1967 pp 227– (1972) [11] Maz’ja V.G., Trans. Moscow Math. Soc 1 pp 49– (1980) [12] Morrey C.B., Comm. Pure Appl. Math 10 pp 271– (1957) · Zbl 0082.09402 · doi:10.1002/cpa.3160100204 [13] Pham The Lai, Sémilaire Equations aux Dérivées Partielles, Nantes (6) (1981) [14] Pham The Lai, Israel Journal of Mathematics 36 (2) pp 169– (1980) · Zbl 0444.35065 · doi:10.1007/BF02937354 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.