On the solution of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation
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We study the solvability of the Gellerstedt problem for the Lavrent’ev-Bitsadze equation under an inhomogeneous boundary condition on the half-circle of the ellipticity domain of the equation, homogeneous boundary conditions on external, internal, and parallel side characteristics of the hyperbolicity domain of the equation, and the transmission conditions on the type change line of the equation.
KeywordsHarmonic Function Nontrivial Solution Solvability Condition Transmission Condition Homogeneous Boundary Condition
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