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Fractional H-measures and transport property


Ivec, Ivan; Erceg, Marko
Fractional H-measures and transport property // A Life in Mathematics
Torino, Italija, 2017. str. 12-12 (predavanje, međunarodna recenzija, sažetak, znanstveni)


Naslov
Fractional H-measures and transport property

Autori
Ivec, Ivan ; Erceg, Marko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
A Life in Mathematics / - , 2017, 12-12

Skup
A Life in Mathematics Generalized Functions, Microlocal Analysis, PDEs and Dynamical Systems

Mjesto i datum
Torino, Italija, 01-03.02.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
H-measures, transport property

Sažetak
Microlocal defect functionals (H-measures, H- distributions, semiclassical measures etc.) are objects which determine, in some sense, the lack of strong compactness for weakly convergent Lp sequences. H-measures are suitable to treat problems where all partial derivatives are of the same order [4]. Recently, parabolic H- measures are introduced in order to treat 1:2 ratio between orders of partial derivatives [1], and also fractional H-measures which treat arbitrary ratios [2, 3]. We generalise Second commutation lemmas introduced in [1] and [4] to fractional Hmeasures, from which we are able to derive the propagation principle for the following fourth order partial differential equation: iu_t + (a(x)u_xx)_xx = f. References [1] N. Antoni´c, M. Lazar, Parabolic H-measures, Journal of Functional Analysis, 265 (2013) 1190– 1239. [2] M. Erceg, I. Ivec, On generalisation of H-measures, accepted for publication in Filomat, 18 pp. [3] D. Mitrovi´c, I. Ivec, A generalization of H-measures and application on purely fractional scalar conservation laws, Comm. Pure Appl. Analysis, 10 (2011) (6) 1617– 1627. [4] L. Tartar, H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations, Proceedings of the Royal Society of Edinburgh, 115A (1990) 193–230.

Izvorni jezik
Engleski



POVEZANOST RADA


Projekt / tema
HRZZ-IP-2013-11-9780 - Metode slabih convergencija i primjene (Nenad Antonić, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Metalurški fakultet, Sisak

Autor s matičnim brojem:
Marko Erceg, (335546)
Ivan Ivec, (339756)

Citiraj ovu publikaciju

Ivec, Ivan; Erceg, Marko
Fractional H-measures and transport property // A Life in Mathematics
Torino, Italija, 2017. str. 12-12 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Ivec, I. & Erceg, M. (2017) Fractional H-measures and transport property. U: A Life in Mathematics.
@article{article, year = {2017}, pages = {12-12}, keywords = {H-measures, transport property}, title = {Fractional H-measures and transport property}, keyword = {H-measures, transport property}, publisherplace = {Torino, Italija} }