engleski

On H-distributions

H-measures were introduced by L. Tartar and independently by P. Gerard to study oscillation and concentration effects in partial differential equations. However, they are suitable only for the problems expressed in the L2 framework. In order to overcome that limitation, N. Antonić and D. Mitrović introduced H-distributions, as an extension of H-measures to the Lp−Lq context. Some existing applications are related to the velocity averaging (M. Lazar and D.Mitrović) and Lp−Lq compactness by compensation (M. Mišur and D. Mitrović). We shall summarise some recent results from the ongoing work on H-distributions and make a comparison with similar well-known results on H-measures, as well as with recently introduced microlocal compactness forms (F. Rindler). We shall investigate how H-distributions can be used to study concentration effects in partial differential equations. This is a joint work with Nenad Antonić (University of Zagreb) and Marko Erceg (University of Zagreb).

H-measures ; H-distributions

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