Geodesic
Gevrey problem for a mixed parabolic equation with singular coefficients
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 18-29

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In this paper, we examine the unique solvability of the Gevrey problem for a mixed parabolic equation with singular coefficients in a band. We prove the existence and uniqueness of a solution to the problem stated. The uniqueness of a solution is proved by the method of energy integrals and the existence by methods of the theory of Volterra, Fredholm, and singular integral equations.
Keywords: Gevrey problem, mixed parabolic equation, uniqueness of solution
Mots-clés : singular coefficient, existence of solution. 
@article{INTO_2018_156_a1,
     author = {A. O. Mamanazarov},
     title = {Gevrey problem for a mixed parabolic equation with singular coefficients},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {18--29},
     publisher = {mathdoc},
     volume = {156},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_156_a1/}
}
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A. O. Mamanazarov. Gevrey problem for a mixed parabolic equation with singular coefficients. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Mathematical Analysis, Tome 156 (2018), pp. 18-29. http://geodesic.mathdoc.fr/item/INTO_2018_156_a1/