Geodesic
On a Neumann-type problem for the Burgers equation in a degenerate corner domain
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 42-62

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Using a priori estimates, the Faedo—Galerkin method, and other methods of functional analysis, we prove the well-posedness of the boundary-value problem for the Burgers equation with nonlinear Neumann-type boundary conditions in degenerate corner domains in Sobolev spaces.
Keywords: Burgers equation, Neumann-type boundary condition, degenerate corner domain, a priori estimate, solvability, uniqueness. 
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     title = {On a {Neumann-type} problem for the {Burgers} equation in a degenerate corner domain},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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M. T. Dzhenaliev (Jenaliyev); M. G. Yergaliyev; A. A. Assetov; A. M. Ayazbayeva. On a Neumann-type problem for the Burgers equation in a degenerate corner domain. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 42-62. http://geodesic.mathdoc.fr/item/INTO_2022_206_a4/