<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mi>m</mml:mi></mml:msup></mml:math>-theory of damped wave equations with stabilisation

書誌事項

公開日
2008-07
権利情報
  • https://www.elsevier.com/tdm/userlicense/1.0/
  • https://www.elsevier.com/legal/tdmrep-license
  • http://www.elsevier.com/open-access/userlicense/1.0/
DOI
  • 10.1016/j.jmaa.2008.02.024
  • 10.48550/arxiv.0711.2403
公開者
Elsevier BV

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説明

The aim of this note is to extend the energy decay estimates from [J. Wirth, J. Differential Equations 222 (2006) 487--514] to a broader class of time-dependent dissipation including very fast oscillations. This is achieved using stabilisation conditions on the coefficient in the spirit of [F. Hirosawa, Math. Ann. 339/4 (2007) 819--839].

13 pages

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