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- W2062358226 abstract "In this paper we consider the Cauchy problem for the heat equation with a nonnegative potential decaying quadratically at the space infinity and investigate local concavity properties of the solution. In particular, we give a sufficient condition for the solution to be quasi-concave in a ball for any sufficiently large t, and discuss the optimality of the sufficient condition, identifying a threshold for the occurrence of local quasi-concavity." @default.
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- W2062358226 date "2011-10-22" @default.
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- W2062358226 title "Local quasi-concavity of the solutions of the heat equation with a nonnegative potential" @default.
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- W2062358226 doi "https://doi.org/10.1007/s10231-011-0226-x" @default.
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