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MEASURE SOLUTIONS TO PERTURBED TRANSPORT EQUATION

Speaker(s)
Kamila Łyczek
Affiliation
Uniwersytet Warszawski (MIM)
Date
April 19, 2018, 12:30 p.m.
Room
room 5070
Seminar
Seminar of Mathematical Physics Equations Group

We consider a linear perturbation into velocity field of transport equation. We investigate solutions in the space of bounded Radon measures and show that they are differentiable with respect to parameter in a proper space, which is predual to (C^{1+\alpha})^* . The result on differentiability is necessary for the application in the optimal control theory