Wave equations with time-dependent dissipation II. Effective dissipation |
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Authors: | Jens Wirth |
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Institution: | Institute of Applied Analysis, TU Bergakademie Freiberg, 09596 Freiberg, Germany |
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Abstract: | This article is intended to present a construction of structural representations of solutions to the Cauchy problem for wave equations with time-dependent dissipation above scaling. These representations are used to give estimates of the solution and its derivatives based on Lq(Rn), q?2.The article represents the second part within a series. In Jens Wirth, Wave equations with time-dependent dissipation I. Non-effective dissipation, J. Differential Equations 222 (2) (2006) 487-514] weak dissipations below scaling were discussed. |
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Keywords: | Wave equations Effective dissipation A-priori estimates WKB representations Diffusive structure |
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