A trajectory-based approach yields sharp, scale-invariant transfer-of-regularity estimates for kinetic equations at the local diffusion scale without Fourier computations or the fundamental solution.
Springer, New York, third edition
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Variants of the Coifman-Meyer multilinear multiplier theorem are established, including cases outside existing theories, to support distributional definitions of the Jacobian and Hessian determinants.
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A new proof of the transfer of regularity for kinetic equations
A trajectory-based approach yields sharp, scale-invariant transfer-of-regularity estimates for kinetic equations at the local diffusion scale without Fourier computations or the fundamental solution.
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Multilinear multiplier theorems and their applications to the Jacobian and the Hessian determinant
Variants of the Coifman-Meyer multilinear multiplier theorem are established, including cases outside existing theories, to support distributional definitions of the Jacobian and Hessian determinants.