Resolvent estimates in W -1,p for second order elliptic differential operators in case of mixed boundary conditions.
Konrad Gröger, Joachim Rehberg (1989)
Mathematische Annalen
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Konrad Gröger, Joachim Rehberg (1989)
Mathematische Annalen
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Konrad Gröger (1994)
Mathematische Annalen
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A. Azzam (1981)
Annales Polonici Mathematici
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M. L. Pasha (1977)
Applicationes Mathematicae
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Maurizio Chicco, Marina Venturino (2006)
Bollettino dell'Unione Matematica Italiana
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We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.
Gerd Grubb, Giuseppe Geymonat (1977)
Mathematische Annalen
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K. Spallek, P. Tworzewski, T. Winiarski (1990)
Mathematische Annalen
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Gabriele Bonanno, Elisabetta Tornatore (2010)
Annales Polonici Mathematici
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The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
E. Shamir (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Chaohao Gu (1980)
Journées équations aux dérivées partielles
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F. Brezzi, J., Jr. Douglas, R. Durán (1987)
Numerische Mathematik
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Jan Brandts (1999)
Applications of Mathematics
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We will show that some of the superconvergence properties for the mixed finite element method for elliptic problems are preserved in the mixed semi-discretizations for a diffusion equation and for a Maxwell equation in two space dimensions. With the help of mixed elliptic projection we will present estimates global and pointwise in time. The results for the Maxwell equations form an extension of existing results. For both problems, our results imply that post-processing and a posteriori...