Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping
Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping
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DOI：
10.1017/s0308210515000219
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
Shifeng Geng;Lina Zhang
中科院分区：
文献类型：
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作者：
Shifeng Geng;Lina Zhang
研究了一类具有非线性阻尼的拟线性双曲型方程在四分之一平面(x, t)∈h + x∈h +上解的渐近性。我们得到了拟线性双曲型方程解的Lp（1≤p≤+∞）收敛速率，而不需要Li和Saxton给出的非线性阻尼f(v)的附加技术假设。
This paper is concerned with the asymptotic behaviour of solutions to quasilinear hyperbolic equations with nonlinear damping on the quarter-plane (x, t) ∈ ℝ+ x ∈ ℝ+. We obtain the Lp (1 ≤ p ≤ +∞) convergence rates of the solution to the quasilinear hyperbolic equations without the additional technical assumptions for the nonlinear damping f(v) given by Li and Saxton.