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· 2024 · arXiv 2401.03234

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math.AP 1

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Self-similar solutions to the time-fractional Porous-Medium Equation

math.AP · 2026-04-10 · unverdicted · novelty 7.0

Existence of self-similar finite-mass solutions is proved for the time-fractional porous-medium equation in the optimal range m > (d-2)_+/d for all d ≥ 1, with compact support for m > 1 and heavy tails for m_c < m < 1.

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  • Self-similar solutions to the time-fractional Porous-Medium Equation math.AP · 2026-04-10 · unverdicted · none · ref 8

    Existence of self-similar finite-mass solutions is proved for the time-fractional porous-medium equation in the optimal range m > (d-2)_+/d for all d ≥ 1, with compact support for m > 1 and heavy tails for m_c < m < 1.