Weak-Strong Uniqueness for Measure-Valued Solutions

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Therefore, the uniqueness property for probability measure solutions of Liouville’s equation is a crucial step towards a rigourous justification of the classical limit or the

The existence of global weak solutions is proved for one-dimensional lubrication models that describe the dewetting process of nanoscopic thin polymer films on hy-

Thus, roughly speaking, Theorem 2 extends the uniqueness results of Prodi, Serrin, Sohr and von Wahl to some classes of weak solutions which.. are more regular in

It is worth noting that our strategy of proof applies in more general situations: On the one hand, whenever there is a weak harmonic map whose stress–energy tensor does not vanish

The notion of Kruzhkov entropy solution was extended by the first author in 2007 to conservation laws with a fractional Laplacian diffusion term; this notion led to well-posedness

The authors prove in [6] the existence of such a renormalized solution, a stability result and partial uniqueness results for “com- parable” solutions.. The uniqueness of

19 Key words: Fractional Laplacian, Dirac measure, Isolated singularity, Weak solu- tion, Weakly singular solution, Strongly singular solution.. MSC2010: 35R11,