Global existence for equivalent nonlinear special scale invariant damped wave equations

Sandra Lucente

doi:10.3934/dcdss.2021159

Article Contents

2022, Volume 15, Issue 12: 3723-3733. Doi: 10.3934/dcdss.2021159

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Global existence for equivalent nonlinear special scale invariant damped wave equations

Sandra Lucente

Dipartimento Interateneo di Fisica, Università degli Studi di Bari Aldo Moro, Via Amendola 173 70125 Bari, Italy

Received: August 2021

Revised: October 2021

Early access: December 2021

Published: December 2022

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Abstract

In this paper we give the notion of equivalent damped wave equations. As an application we study global in time existence for the solution of special scale invariant damped wave equation with small data. To gain such results, without radial assumption, we deal with Klainerman vector fields. In particular we can treat some potential behind the forcing term.

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Mathematics Subject Classification: Primary: 35L70, 35E15.

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References

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