Glasnik matematički, Vol. 54 No. 1, 2019.
Original scientific paper
https://doi.org/10.3336/gm.54.1.08
Time decay estimates for wave equations with transmission and boundary conditions
Krešo Mihalinčić
; Faculty of Tourism and Hospitality Management, University of Rijeka, Primorska 42, 51410 Opatija, Croatia
Abstract
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.
Keywords
Partial differential equations; initial boundary value problem; mathematical physics; wave propagation; stationary phase; time decay
Hrčak ID:
220846
URI
Publication date:
7.6.2019.
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