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- W2000696821 abstract "We present new decay estimates of solutions for the mixed problem of the equation vtt−vxx+vt=0, which has the weighted initial data [v0,v1]∈(H10(0,∞) ∩L1,γ(0,∞)) × (L2(0,∞)∩L1,γ(0,∞)) (for definition of L1,γ(0,∞), see below) satisfying γ∈[0,1]. Similar decay estimates are also derived to the Cauchy problem in ℝN for utt−Δu+ut=0 with the weighted initial data. Finally, these decay estimates can be applied to the one dimensional critical exponent problem for a semilinear damped wave equation on the half line. Copyright © 2004 John Wiley & Sons, Ltd." @default.
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- W2000696821 date "2004-04-27" @default.
- W2000696821 modified "2023-10-16" @default.
- W2000696821 title "New decay estimates for linear damped wave equations and its application to nonlinear problem" @default.
- W2000696821 doi "https://doi.org/10.1002/mma.476" @default.
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