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Abstract <p> We consider an initial-boundary value problem in a quarter-space for a pseudohyperbolicequation that is not resolved with respect to the highest time derivative. We find sufficientconditions on the right-hand side of this equation that guarantee existence of solutions ofthe problem in Sobolev spaces with exponential weight.</p>

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A Boundary Value Problem in a Quarter-Space for a Pseudohyperbolic Equation

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • V. V. Shemetova

摘要

Abstract

We consider an initial-boundary value problem in a quarter-space for a pseudohyperbolicequation that is not resolved with respect to the highest time derivative. We find sufficientconditions on the right-hand side of this equation that guarantee existence of solutions ofthe problem in Sobolev spaces with exponential weight.