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On a Boundary Value Problem for a Pseudohyperbolic Equation

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Abstract

In the present article, we consider a mixed boundary value problem in a quarter-space for a pseudohyperbolic equation. 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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Funding

The study was carried out within the framework of the state contract of the Sobolev Institute of Mathematics (project No. FWNF-2022-0008).

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Correspondence to V. V. Shemetova.

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Shemetova, V.V. On a Boundary Value Problem for a Pseudohyperbolic Equation. Sib. Adv. Math. 33, 242–252 (2023). https://doi.org/10.1134/S1055134423030082

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  • DOI: https://doi.org/10.1134/S1055134423030082

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