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- W1991492102 abstract "We study the nonlinear parabolic equation Δ u − u φ ( . , u ) − ∂ u ∂ t = 0 , in R n × ( 0 , ∞ ) with boundary condition u ( x , 0 ) = u 0 ( x ) , not necessarily bounded function. The nonlinearity φ ( ( x , t ) , u ) is required to satisfy some conditions related to the parabolic Kato class P ∞ ( R n ) while allowing existence of positive solutions of the equation and continuity of such solutions. Our approach is based on potential theory tools." @default.
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- W1991492102 date "2007-09-01" @default.
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- W1991492102 title "Asymptotic behavior of positive solutions for heat equation with nonlinear term" @default.
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- W1991492102 doi "https://doi.org/10.1016/j.jmaa.2006.10.072" @default.
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