A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients

Published: Jul 14, 2020
Abstract
We study measure-valued solutions of the inhomogeneous continuity equation \partial_t \rho_t + {\rm div}(v\rho_t) = g \rho_twhere the coefficients vand gare of low regularity. A new superposition principle is proven for positive measure solutions and coefficients for which the recently-introduced dynamic Hellinger-Kantorovich energy is finite. This principle gives a decomposition of the solution into curves $t \mapsto...
Paper Details
Title
A superposition principle for the inhomogeneous continuity equation with Hellinger-Kantorovich-regular coefficients
Published Date
Jul 14, 2020
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