摘要

We extend the notion of H-measures on test functions defined on R-d x P, where P subset of R-d is an arbitrary compact simply connected Lipschitz manifold such that there exists a family of regular nonintersecting curves issuing from the manifold and fibrating R-d. We introduce a concept of quasi-solutions to purely fractional scalar conservation laws and apply our extension of the H-measures to prove strong L-loc(1) of such quasi-solutions.

  • 出版日期2011-11