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- W2068367531 abstract "We study the existence and the asymptotic behavior of positive solutions for the parabolic equation aΔu-∂∂tu+Vup=0 on D×(0,∞), where a>0,D is a some unbounded domain in Rn,n⩾3 and V belongs to a new parabolic class J∞ of singular potentials generalizing the well-known parabolic Kato class at infinity P∞ introduced recently by Zhang. We also show that the choice of this class is essentially optimal." @default.
- W2068367531 created "2016-06-24" @default.
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- W2068367531 date "2006-04-01" @default.
- W2068367531 modified "2023-09-26" @default.
- W2068367531 title "Global existence and asymptotic behavior of solutions for nonlinear parabolic equations on unbounded domains" @default.
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- W2068367531 doi "https://doi.org/10.1016/j.jfa.2005.06.021" @default.
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