References
Agmon, S.: Lectures on elliptic boundary value problems. Princeton: Van Nostrand 1965.
—, Douglis, A., Nirenberg, L.: Estimates near the boundary for solutions of partial differential equations satisfying general boundary conditions I. Commun. Pure Appl. Math.12, 623–727 (1959).
Douglis, A., Nirenberg, L.: Interior estimates for elliptic systems of partial differential equations. Commun. Pure Appl. Math.8, 503–538 (1955).
Hellwig, G.: Partial differential equations. New York: Blaisdell 1964.
Miranda, C.: Sul Problema Misto per le Equazione lineari Ellitiche. Ann. Mat. Pura Appl.39, 279–303 (1955).
Pucci, C.: Propieta di massimo e minimo delle soluzioni di equazione a derivate parziali del secondo ordine di tipo ellitico e parabolico. Atti Rend. Accad. Naz. Lincei23, 370–375 (1957). and24, 3–6 (1958).
Rohde, H.-W., Wienholtz, E.: Ein Regularitätssatz zur schwachen zweiten Randbedingung mit Anwendungen auf elliptische Differentialoperatoren. Math. Z.98, 9–26 (1967).
Sobolev, S. L.: Applications of functional analysis in mathematical physics. Providence R. I., American Mathematical Society, 1963.
Wigley, N. M.: Asymptotic expansions at a corner of solutions of mixed boundary value problems. J. Math. Mech.13, 549–576 (1964).
—: Development of the mapping function at a corner. Pacific J. Math.15, 1435–1461 (1965).
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This work was written while the author was a fellow of the Alexander von Humboldt Foundation.
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Wigley, N.M. Mixed boundary value problems in plane domains with corners. Math Z 115, 33–52 (1970). https://doi.org/10.1007/BF01109747
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DOI: https://doi.org/10.1007/BF01109747