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A generalization of H-measures and application on purely fractional scalar conservation laws (CROSBI ID 173077)

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Mitrović, Darko ; Ivec, Ivan A generalization of H-measures and application on purely fractional scalar conservation laws // Communications on pure and applied analysis, 10 (2011), 6; 1617-1627. doi: 10.3934/cpaa.2011.10.1617

Podaci o odgovornosti

Mitrović, Darko ; Ivec, Ivan

engleski

A generalization of H-measures and application on purely fractional scalar conservation laws

We extend the notion of H-measures on test functions defined on Rd x P, where P is an arbitrary compact simply connected Lipschitz manifold such that there exists a family of regular nonintersecting curves issuing from the manifold and fibrating Rd. We introduce a concept of quasi-solutions to purely fractional scalar conservation laws and apply our extension of the H-measures to prove strong L1loc precompactness of such quasi-solutions.

H-measures; fractional conservation laws

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Podaci o izdanju

10 (6)

2011.

1617-1627

objavljeno

1534-0392

10.3934/cpaa.2011.10.1617

Povezanost rada

Matematika

Poveznice
Indeksiranost