On the Stabilization Rate of Solutions of the Cauchy Problem for Nondivergent Parabolic Equations with Growing Lower-Order Term
2017 ◽
Vol 63
(4)
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pp. 586-598
Keyword(s):
In the Cauchy problem L1u≡Lu+(b,∇u)+cu-ut=0,(x,t)∈D,u(x,0)=u0(x),x∈RN, for nondivergent parabolic equation with growing lower-order term in the half-space D=RN×[0,∞), N⩾3, we prove sufficient conditions for exponential stabilization rate of solution as t→+∞ uniformly with respect to x on any compact K in RN with any bounded and continuous in RN initial function u0(x).
2020 ◽
Vol 66
(1)
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pp. 1-155
2008 ◽
Vol 261
(1)
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pp. 94-97
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2004 ◽
Vol 120
(3)
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pp. 1313-1327
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2010 ◽
Vol 171
(1)
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pp. 46-57
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2020 ◽
Vol 10
(1)
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pp. 353-370
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1997 ◽
Vol 46
(3)
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pp. 0-0
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2018 ◽
Vol 4
(2)
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pp. 189-206
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