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Equivalence of definitions of fractional caloric functions

math.AP · 2024-10-21 · unverdicted · novelty 5.0

Proves equivalence of nonnegative distributional solutions to the fractional heat equation with caloric functions for the space-time isotropic alpha-stable process, plus conditions for classical solutions and kernel derivative estimates.

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  • Equivalence of definitions of fractional caloric functions math.AP · 2024-10-21 · unverdicted · none · ref 6

    Proves equivalence of nonnegative distributional solutions to the fractional heat equation with caloric functions for the space-time isotropic alpha-stable process, plus conditions for classical solutions and kernel derivative estimates.