An integral equation technique for solving mixed boundary value problems
M. L. Pasha (1977)
Applicationes Mathematicae
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Displaying similar documents to “Smoothness properties of solutions of mixed boundary value problems for elliptic equations in sectionally smooth n-dimensional domains”
An integral equation technique for solving mixed boundary value problems
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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...