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- W1998906527 abstract "In this paper, we consider the Cauchy problem to the damped wave equation. Several authors have shown the diffusive structure of the problem which has been represented by Lp–Lq estimates. We show the new Lp–Lq estimates to the problem when initial data are odd and belong to certain weighted function space. These Lp–Lq estimates imply the new decay estimates for the above Cauchy problem. Moreover, we apply the above decay estimates to the Cauchy problem for the semilinear wave equation with power nonlinearities lower than Fujita critical exponent. We show the existence of the time global solutions when the initial data are small and odd." @default.
- W1998906527 created "2016-06-24" @default.
- W1998906527 creator A5041895999 @default.
- W1998906527 date "2005-11-01" @default.
- W1998906527 modified "2023-09-27" @default.
- W1998906527 title "Decay estimates for the damped wave equation with weighted odd initial data" @default.
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- W1998906527 doi "https://doi.org/10.1016/j.na.2005.02.103" @default.
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