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The Wave Equation with Nonlinear Dissipative Term

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Almost-Periodic Functions and Functional Equations

Part of the book series: The University Series in Higher Mathematics ((USHM))

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Abstract

(a) In this chapter we shall study the wave equation with dissipative term:

EquationSource% MathType!MTEF!2!1!+- % feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaabCaeaada % WcaaqaaiabgkGi2cqaaiabgkGi2kabeA7a6naaBaaaleaacaWGQbaa % beaaaaGcdaqadaqaaiaadggadaWgaaWcbaGaamOAaiaadUgaaeqaaO % GaaiikaiabeA7a6jaacMcadaWcaaqaaiabgkGi2kaadIhacaGGOaGa % amiDaiabeA7a6jaacMcaaeaacqGHciITcqaH2oGEdaWgaaWcbaGaam % 4AaaqabaaaaaGccaGLOaGaayzkaaaaleaacaWGQbGaaiOlaiaadUga % aeaacaaIXaGaaiOlaiaac6cacaGGUaGaamyBaaqdcqGHris5aOGaey % OeI0IaamyyamaaBaaaleaacaaIWaaabeaakiaacIcacqaH2oGEcaGG % PaGaamiEaiaacIcacaWG0bGaaiilaiabeA7a6jaacMcacqGHsislda % WcaaqaaiabgkGi2oaaCaaaleqabaGaaGOmaaaakiaadIhacaGGOaGa % amiDaiaacYcacqaH2oGEcaGGPaaabaGaeyOaIyRaamiDamaaCaaale % qabaGaaGOmaaaaaaGccqGHRaWkcaWGMbGaaiikaiaadshacaGGSaGa % eqOTdONaaiykaiabg2da9iabek7aInaabmaabaWaaSaaaeaacqGHci % ITcaWG4bGaaiikaiaadshacaGGSaGaeqOTdONaaiykaaqaaiabgkGi % 2kaadshaaaaacaGLOaGaayzkaaGaaiilaaaa!83AB!
((1.1))

where, as usual, t ∈ J, ζ={ζ 1, · · ·, ζm} ∈ Ω, open, bounded, and connected set of Rm.

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Authors and Affiliations

  1. Istituto di Matematica del Politecnico, Milan, Italy

    Luigi Amerio & Giovanni Prouse

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  1. Luigi Amerio
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  2. Giovanni Prouse
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© 1971 Springer Science+Business Media New York

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Amerio, L., Prouse, G. (1971). The Wave Equation with Nonlinear Dissipative Term. In: Almost-Periodic Functions and Functional Equations. The University Series in Higher Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-1254-4_7

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  • DOI: https://doi.org/10.1007/978-1-4757-1254-4_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-1256-8

  • Online ISBN: 978-1-4757-1254-4

  • eBook Packages: Springer Book Archive

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