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Abstract <p>This paper considers a mixed boundary value problem for a pseudohyperbolic equation in the quarter-plane. Conditions on the boundary functions ensuring correctness in Sobolev spaces with an exponential weight are obtained.</p>

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Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • V. V. Shemetova

摘要

Abstract

This paper considers a mixed boundary value problem for a pseudohyperbolic equation in the quarter-plane. Conditions on the boundary functions ensuring correctness in Sobolev spaces with an exponential weight are obtained.