Fredholmness of an abstract differential equation of elliptic type.
Aibeche, Aissa (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Aibeche, Aissa (2004)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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M. A. Shubin (1989-1990)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Horiuchi, Toshio (2001)
Journal of Inequalities and Applications [electronic only]
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Paola Cavaliere, Maria Transirico (2005)
Commentationes Mathematicae Universitatis Carolinae
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In this paper an existence and uniqueness theorem for the Dirichlet problem in for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class .
Maria Alessandra Ragusa (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.