Time decay estimates for wave equations with transmission and boundary conditions

Time decay estimates are derived for solutions of some initial value problems of wave propagation, based on the method of stationary phase. Solutions to three dimensional wave equation in wedges and one dimensional wave equation with a constant potential are shown to decay like t-1 and t-1/2, respec...

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Permalink: http://skupni.nsk.hr/Record/nsk.NSK01001075558/Details
Matična publikacija: Glasnik matematički (Online)
54 (2019), 1 ; str. 179-209
Glavni autor: Mihalinčić, Krešo (Author)
Vrsta građe: e-članak
Jezik: eng
Predmet:
Online pristup: https://doi.org/10.3336/gm.54.1.08
Glasnik matematički (Online)
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245 1 0 |a Time decay estimates for wave equations with transmission and boundary conditions  |h [Elektronička građa] /  |c Krešo Mihalinčić. 
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520 |a Time decay estimates are derived for solutions of some initial value problems of wave propagation, based on the method of stationary phase. Solutions to three dimensional wave equation in wedges and one dimensional wave equation with a constant potential are shown to decay like t-1 and t-1/2, respectively. Dependencies of the results on initial data and physical implications are discussed. 
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