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Displaying similar documents to “The jump problem for mixed-type equations with defects on the type change line.”

Application of complex analysis to second order equations of mixed type

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...