An integral equation technique for solving mixed boundary value problems
M. L. Pasha (1977)
Applicationes Mathematicae
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M. L. Pasha (1977)
Applicationes Mathematicae
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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.
Chaohao Gu (1980)
Journées équations aux dérivées partielles
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Konrad Gröger (1989)
Mathematische Annalen
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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.
E. Shamir (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Salim Meddahi, Virginia Selgas (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We study in this paper the electromagnetic field generated in a conductor by an alternating current density. The resulting interface problem (see Bossavit (1993)) between the metal and the dielectric medium is treated by a mixed–FEM and BEM coupling method. We prove that our BEM-FEM formulation is well posed and that it leads to a convergent Galerkin method.
Neil M. Wigley (1970)
Mathematische Zeitschrift
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C. Johnson (1976)
Publications mathématiques et informatique de Rennes
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H. Marcinkowska (1982)
Colloquium Mathematicae
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Guo Chun Wen (1998)
Annales Polonici Mathematici
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This paper deals with an application of complex analysis to second order equations of mixed type. We mainly discuss the discontinuous Poincaré boundary value problem for a second order linear equation of mixed (elliptic-hyperbolic) type, i.e. the generalized Lavrent’ev-Bitsadze equation with weak conditions, using the methods of complex analysis. We first give a representation of solutions for the above boundary value problem, and then give solvability conditions via the Fredholm theorem...