An inverse problem for time-harmonic electromagnetic currents in a smoothly layered medium.
Malmivuori, Markku (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “Singular integrals of the time harmonic Maxwell equations theory on a piecewise Liapunov surface.”
An inverse problem for time-harmonic electromagnetic currents in a smoothly layered medium.
Generalized Moisil-Théodoresco systems and Cauchy integral decompositions.
Blaya, Ricardo Abreu, Bory Reyes, Juan, Delanghe, Richard, Sommen, Frank (2008)
International Journal of Mathematics and Mathematical Sciences
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Surface integrals and harmonic functions.
Movshovich, Yevgenya (2005)
Journal of Inequalities and Applications [electronic only]
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On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical
S. A. Plaksa, V. S. Shpakivskyi (2013)
Annales UMCS, Mathematica
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We consider a certain analog of Cauchy type integral taking values in a three-dimensional harmonic algebra with two-dimensional radical. We establish sufficient conditions for an existence of limiting values of this integral on the curve of integration.
A remark on gradients of harmonic functions in dimension ≥3
J. Bourgain, T. Wolff (1990)
Colloquium Mathematicae
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A free boundary problem related to single-layer potentials.
Ebenfelt, P., Khavinson, D., Shapiro, H. S. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Boundary estimates for derivatives of harmonic functions
Frank Beatrous (1991)
Studia Mathematica
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Abstract differential inequalities and the Cauchy problem for infinite-dimensional linear functional differential equations.
Rontó, Andrei, Šremr, Jiří (2005)
Journal of Inequalities and Applications [electronic only]
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-harmonic maps which map the boundary of the domain to one point in the target.
Course, Neil (2007)
The New York Journal of Mathematics [electronic only]
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Surfaces of minimum capacity for a knot
Luis A. Caffarelli (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Riemann boundary value problem for hyperanalytic functions.
Abreu Blaya, Ricardo, Bory Reyes, Juan, Peña Peña, Dixan (2005)
International Journal of Mathematics and Mathematical Sciences
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On boundary behavior of Cauchy integrals
Hiroshige Shiga (2013)
Annales UMCS, Mathematica
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In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.