Geodesic
On boundary value problems in a quarter-plane for a pseudohyperbolic equation
Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 3-30.

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We consider a mixed boundary value problem in a quarter-plane for a pseudohyperbolic equation and assume that the Lopatinskiĭ condition is satisfied. We find conditions on the right-hand side of the equation that guarantee existence of solutions of this problem in Sobolev spaces with exponential weight. 
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L. N. Bondar'; V. V. Shemetova. On boundary value problems in a quarter-plane for a pseudohyperbolic equation. Matematičeskie trudy, Tome 25 (2022) no. 2, pp. 3-30. http://geodesic.mathdoc.fr/item/MT_2022_25_2_a0/

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