Abstract
For the equation \((\mathrm {sign}\thinspace y)|y|^{m}u_{{xx}}+u_{{yy}}-(m/2y)u_{y}=0\) considered in a mixed domain, we prove theorems on the uniqueness and existence of a solution of a problem with a missing Tricomi condition on the boundary characteristic and with an analog of the Frankl condition on an internal characteristic and on the degeneracy segment.
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Translated by V. Potapchouck
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Mirsaburova, U.M. Problem with an Analog of the Frankl Condition on an Internal Characteristic for an Equation of Mixed Type. Diff Equat 57, 718–735 (2021). https://doi.org/10.1134/S0012266121060033
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DOI: https://doi.org/10.1134/S0012266121060033