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math.AP2019
Local well-posedness of the Boltzmann equation with polynomially decaying initial data
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the Cauchy problem for the spatially inhomogeneous non-cutoff Boltzmann equation with polynomially decaying initial data in the velocity variable. We establish short-ti…
math.AP2019
Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the Cauchy problem for the spatially inhomogeneous Landau equation with soft potentials in the case of large (i.e. non-perturbative) initial data. We construct a soluti…