engleski

On transport property of variant H-measures

Due to special scaling of the dual variable ($\frac{; ; ; \xi}; ; ; {; ; ; |\xi|}; ; ; $) included in their definition, the original H-measures turned out to be unsuitable for the applications to non-hyperbolic equations. Therefore, a variant of H-measures has been developed, containing a different scaling for the dual variable, which is better suited to the equations of parabolic type. As for the original H-measures, the localisation property for the new variant has been constructed and applied to various equations of this type. On the other side, the propagation property, based on the second commutation lemma, turned out to be more complicated. Its construction for the new variant will be discussed.

transport property; pParabolic H-measures

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