Global existence and nonexistence of solutions for the nonlinear pseudo‐parabolic equation with a memory term

Global existence and nonexistence of solutions for the nonlinear pseudo‐parabolic equation with a memory term
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DOI:
10.1002/mma.3327
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发表时间:
2015-11
影响因子:
2.9
通讯作者:
Huafei Di;Y. Shang
Huafei Di;Y. Shang
中科院分区:
数学4区
文献类型:
--
作者:
Huafei Di;Y. Shang

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本文研究了具有记忆项的非线性拟抛物型方程ut−△u−△ut+ τ 0 t λ(t−τ)△u(τ)dτ=| u| p−1u,x∈Ω,t>0
In this paper, we study the initial boundary value problem of nonlinear pseudo‐parabolic equation with a memory term ut−△u−△ut+∫0tλ(t−τ)△u(τ)dτ=|u|p−1u,x∈Ω,t>0