On a wave equation with singular dissipation

Mohammed Elamine Sebih and Jens Wirth

Mathematische Nachrichten, 2022, vol. 295, issue 8, 1591-1616

Abstract: In this paper we consider a singular wave equation with distributional and more singular non‐distributional coefficients and develop tools and techniques for the phase‐space analysis of such problems. In particular we provide a detailed analysis for the interaction of singularities of solutions with strong singularities of the coefficient in a model problem of recent interest.

Date: 2022
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