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Wave equations with time-dependent coefficients
Johannes Emmerling
- 01 Jan 2006
TL;DR: In this paper, the authors studied the damped wave equation with time-dependent coefficients, and proved energy estimates for a new class of coefficients, which they called time dependent coefficients.
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Abstract: We study the damped wave equation with time-dependent coefficients utt(t, x) − a(t) 2 ∆u(t, x) − b ′ b (t)ut(t, x) = 0 in R n and prove energy estimates for a new class of coefficients.
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Citations
Cm-theory of damped wave equations with stabilisation
Fumihiko Hirosawa,Jens Wirth +1 more
TL;DR: In this paper, the authors extend the energy decay estimates from [J. Wirth, Wave equations with timedependent-dissipation] to a broader class of time-dependent dissipation including very fast oscillations.
27
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Wolfgang Walter
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TL;DR: In this article, the author's mono graph "Differential- und integral-un gleichungen," with the subtitle "und ihre Anwendung bei Abschatzungs und Eindeutigkeitsproblemen" was published.
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On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations
TL;DR: In this article, the authors show the asymptotic properties of the solutions of the linear equation with /*=0] in 2. 1 and those of the nonlinear equation (2) in 2 and 2. 3.
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Perturbations: Theory and Methods
James Murdock
- 01 Jan 1987
TL;DR: In this article, the root finding regular perturbation theory is used to find regular perturbations and direct error estimation of the WKB Type Appendices Symbol Index Index.
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