Derives representation formulas and scale-invariant kinetic Gagliardo-Nirenberg inequalities for two nonlocal kinetic p-Laplace models, yielding gain-of-integrability for weak solutions.
A new proof of the transfer of regularity for kinetic equations
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abstract
We present a new trajectory-based approach to transfer-of-regularity estimates \`a la Bouchut-H\"ormander for kinetic equations at the weak scale of local diffusion. The method avoids explicit computations in Fourier variables and does not rely on the fundamental solution, while still yielding sharp, scale-invariant homogeneous estimates.
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math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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On the kinetic $p$-Laplace equation with nonlocal diffusion
Derives representation formulas and scale-invariant kinetic Gagliardo-Nirenberg inequalities for two nonlocal kinetic p-Laplace models, yielding gain-of-integrability for weak solutions.