Large Time Decay of Solutions to a Linear Nonautonomous System in Exterior Domains
Keyword(s):
In this expository paper, we study Lq-Lr decay estimates of the evolution operator generated by a perturbed Stokes system in n-dimensional exterior domains when the coefficients are time-dependent and can be unbounded at spatial infinity. By following the approach developed by the present author for the physically relevant case where the rigid motion of the obstacle is time-dependent, we clarify that some decay properties of solutions to the same system in whole space Rn together with the energy relation imply the desired estimates in exterior domains provided n≥3.
2020 ◽
Vol 238
(1)
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pp. 215-254
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Keyword(s):
2009 ◽
Vol 06
(02)
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pp. 371-387
1998 ◽
Vol 288
(2-4)
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pp. 230-234
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2011 ◽
Vol 08
(03)
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pp. 647-655
2018 ◽
Vol 44
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pp. 479-496
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