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· 2003

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math.AP 1

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2024 1

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On the Hardy-H\'enon heat equation with an inverse square potential

math.AP · 2024-07-18 · unverdicted · novelty 4.0

Derives sharp decay estimates for the semigroup generated by -Δ + a|x|^{-2} and applies them to obtain local/global well-posedness and blow-up/nonexistence results for the nonlinear equation in weighted Lebesgue spaces.

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  • On the Hardy-H\'enon heat equation with an inverse square potential math.AP · 2024-07-18 · unverdicted · none · ref 7

    Derives sharp decay estimates for the semigroup generated by -Δ + a|x|^{-2} and applies them to obtain local/global well-posedness and blow-up/nonexistence results for the nonlinear equation in weighted Lebesgue spaces.