On heat equations associated with fractional harmonic oscillators
Fractional Calculus and Applied Analysis(2023)
摘要
We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator e^-tH^β , t, β >0 , associated with the harmonic oscillator H=-Δ + |x|^2 . We then prove some local and global wellposedness results for nonlinear fractional heat equations.
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关键词
Fractional harmonic oscillator (primary),dissipative estimates,heat equations,wellposedness
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