Problem with an Analog of the Frankl Conditionon an Internal Characteristicfor an Equation of Mixed Type

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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DOI

10.1134/s0012266121060033

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