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math.AP2020
Existence and differentiability in parameter of the measure solution to a perturbed non-linear transport equation
Piotr Gwiazda, Sander C. Hille, Kamila Łyczek
We consider a perturbation in the non-linear transport equation on measures i.e. both initial condition and the solution are bounded Radon measures $\mathcal{M}(\math…
math.AP2018
Differentiability in perturbation parameter of measure solutions to perturbed transport equation
Piotr Gwiazda, Sander C. Hille, Kamila Łyczek +1
We consider a linear perturbation in the velocity field of the transport equation. We investigate solutions in the space of bounded Radon measures and show that they are differenti…