Geodesic
On the Boundary-Value Problem for a Class of Equations of Mixed Type in an Unbounded Domai
Matematičeskie zametki, Tome 92 (2012) no. 1, pp. 74-83

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In this paper, we study the boundary-value problem for an equation of mixed type with singular coefficient. The uniqueness of the solution of the problem is proved using the extremum principle and the existence of a solution to the problem is established by the method of integral equations.
Keywords: partial differential equation of mixed type, Gellerstedt problem, boundary-value problem, parabolic degeneracy, extremum principle, Cauchy problem, Darboux formula. 
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     author = {M. Kh. Ruziev},
     title = {On the {Boundary-Value} {Problem} for a {Class} of {Equations} of {Mixed} {Type} in an {Unbounded} {Domai}},
     journal = {Matemati\v{c}eskie zametki},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a7/}
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M. Kh. Ruziev. On the Boundary-Value Problem for a Class of Equations of Mixed Type in an Unbounded Domai. Matematičeskie zametki, Tome 92 (2012) no. 1, pp. 74-83. http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a7/