Wave equations with non-dissipative damping

Muñoz Rivera, Jaime E.; Racke, Reinhard

Wave equations with non-dissipative damping

Dateien

preprint_169.pdfGröße: 298.35 KBDownloads: 102

Datum

2002

Autor:innen

Muñoz Rivera, Jaime E.

Racke, Reinhard

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Preprint

Publikationsstatus

Published

Zusammenfassung

We consider the nonlinear wave equation $u_{tt}-\sigma(u_x)_x + a(x)u_t = 0$ in a bounded interval (0,L) subset IR1. The function a is allowed to change sign, but has to satisfy $\int \limits^L_0 a(x)dx > 0$ For this non-dissipative situation we prove the exponential stability of the corresponding linearized system for small a, as well as the global existence of smooth, small solutions to the nonlinear system if in particular the negative part of a is small enough.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

MUÑOZ RIVERA, Jaime E., Reinhard RACKE, 2002. Wave equations with non-dissipative damping

BibTex

@unpublished{MunozRivera2002equat-685,
  year={2002},
  title={Wave equations with non-dissipative damping},
  author={Muñoz Rivera, Jaime E. and Racke, Reinhard}
}

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