<p>We present sufficient conditions forthe existence of a&#xa0;solution to the Cauchy problemfor second-order linear homogeneous Sobolev-type equationswith constant coefficientsin the space of&#xa0;tempered distributions.</p>

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The Cauchy Problem for a Class of Sobolev-Type Equations in the Space of Tempered Distributions

  • A. L. Pavlov

摘要

We present sufficient conditions forthe existence of a solution to the Cauchy problemfor second-order linear homogeneous Sobolev-type equationswith constant coefficientsin the space of tempered distributions.