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math.AP2017
Distributional solutions of the Beltrami equation
A. L. Baisón, A. Clop, J. Orobitg
We study the distributional solutions to the (generalized) Beltrami equation under Sobolev assumptions on the Beltrami coefficients. In this setting, we prove that these distributi…
math.AP2017
Well-posedness for the continuity equation for vector fields with suitable modulus of continuity
Albert Clop, Heikki Jylhä, Joan Mateu +1
We prove well-posedness of linear scalar conservation laws using only assumptions on the growth and the modulus of continuity of the velocity field, but not on its divergence. As a…