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- W2029781421 abstract "H-measures were recently introduced by Luc Tartar as a tool which might provide better understanding of propagating oscillations. Independently, Patrick Gerard introduced the same objects under the name of microlocal defect measures . Partial differential equations of mathematical physics can often be written in the form of a symmetric system: where A k and B are matrix functions, while u is an unknown vector function, and f a known vector function. In this work we prove a general propagation theorem for H-measures associated to symmetric systems. This result, combined with the localisation property, is then used to obtain more precise results on the behaviour of H-measures associated to the wave equation, Maxwell's and Dirac's systems, and second-order equations in two variables." @default.
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- W2029781421 date "1996-01-01" @default.
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- W2029781421 title "H-measures applied to symmetric systems" @default.
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- W2029781421 doi "https://doi.org/10.1017/s0308210500023325" @default.
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