Boundary value problems in complex analysis II

• Autores: Heinrich Begehr
• Localización: Boletín de la Asociación Matemática Venezolana, ISSN-e 1315-4125, Vol. 12, Nº. 2, 2005, págs. 217-250
• Idioma: inglés
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• Resumen

  • This is the continuation of an investigation of basic boundary value problems for first order complex model partial deferential equations. Model second order equations are the Poisson and the inhomogeneous Bitsadze equations. Deferent kinds of boundary conditions are posed as combinations of the Schwarz, the Dirichlet, and the Neumann conditions. Solvability conditions and the solutions are given in explicit form for the unit disc. Exemplarily the inhomogeneous polyanalytic equation is investigated as a model equation of arbitrary order.