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- W1979931392 abstract "In this paper, we investigate the initial value problem for the nonlinear pseudo-parabolic equation. Global existence and optimal decay estimate of solution are established, provided that the initial value is suitably small. Moreover, when n⩾2 and the nonlinear term f(u) disappears, we prove that the global solutions can be approximated by the linear solution as time tends to infinity. When n=1 and the nonlinear term f(u) disappears, we show that as time tends to infinity, the global solution approaches the nonlinear diffusion wave described by the self-similar solution of the viscous Burgers equation." @default.
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- W1979931392 date "2014-09-01" @default.
- W1979931392 modified "2023-10-03" @default.
- W1979931392 title "Large time behavior of solutions to the nonlinear pseudo-parabolic equation" @default.
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- W1979931392 doi "https://doi.org/10.1016/j.jmaa.2014.03.030" @default.
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