The Dirichlet problem for a class of composite type equations with a discontinuous coefficient of the highest
Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 48-65

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This paper investigates the solvability of the Dirichlet problem in classes of regular or almost regular solutions of composite type equations with a discontinuous alternating in sign coefficient. The existence and uniqueness theorems are proved by regularization and continuation methods.
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A. I. Kozhanov; S. V. Potapova. The Dirichlet problem for a class of composite type equations with a discontinuous coefficient of the highest. Dalʹnevostočnyj matematičeskij žurnal, Tome 14 (2014) no. 1, pp. 48-65. http://geodesic.mathdoc.fr/item/DVMG_2014_14_1_a4/