The Property of the Solution about Cauchy Problem for Fourth-Order Schrödinger Equation with Critical Time-Oscillating Nonlinearity
Keyword(s):
We study the property of the solution in Sobolev spaces for the Cauchy problem of the following fourth-order Schrödinger equation with critical time-oscillating nonlinearityiut+Δ2u+θ(ωt)|u|8/(n-4)u=0, whereω,t∈R,x∈Rn, andθis a periodic function. We obtain the asymptotic property of the solution for the above equation asω→∞under some conditions.
2012 ◽
Vol 85
(3)
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pp. 371-379
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2005 ◽
Vol 214
(1)
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pp. 1-35
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2021 ◽
Vol 65
(4)
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pp. 558-569
2020 ◽
Vol 244
(5)
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pp. 796-804
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