Geodesic
A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a~singular coefficient
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2013), pp. 16-30

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We consider a generalized Tricomi equation with a singular coefficient. For this equation in a mixed domain we study the corresponding problem, where a part of the boundary characteristic is free of boundary conditions; the deficient Tricomi condition is equivalently substituted by a nonlocal Frankl condition on a segment of the degeneration line. We prove that the stated problem is well-posed.
Keywords: gluing condition, uniqueness of solution, Tricomi singular integral equation, isolated singularity of the first order, Wiener–Hopf equation, index
Mots-clés : residue. 
@article{IVM_2013_7_a1,
     author = {Gulbakhor M. Mirsaburova},
     title = {A mixed problem with {Tricomi} and {Frankl} conditions for the {Gellerstedt} equation with a~singular coefficient},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--30},
     publisher = {mathdoc},
     number = {7},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_7_a1/}
}
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Gulbakhor M. Mirsaburova. A mixed problem with Tricomi and Frankl conditions for the Gellerstedt equation with a~singular coefficient. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2013), pp. 16-30. http://geodesic.mathdoc.fr/item/IVM_2013_7_a1/