On the theory of a singular Vekua system

doi:https://doi.org/10.1007/978-3-0348-8276-7_4

On the theory of a singular Vekua system

Heinrich Begehr,Dao‐Qing Dai-2001-01-01-Birkhäuser Basel eBooks

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TL;DRAbstract

We study the solvability of the Riemann-Hilbert problem for a singular Vekua system. For the number of continuous solutions, we shall show that it depends not only on the index but also on the location and type of the singularities, moreover it does not depend continuously on the coefficients of the equation. These suggest essential difficulties to obtain a general theory for singular Vekua systems.

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We study the solvability of the Riemann-Hilbert problem for a singular Vekua system. For the number of continuous solutions, we shall show that it depends not only on the index but also on the location and type of the singularities, moreover it does not depend continuously on the coefficients of the equation. These suggest essential difficulties to obtain a general theory for singular Vekua systems.

Keywords

Gravitational singularityMathematicsSingular solutionRiemann hypothesisMathematical analysis

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