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Pregled bibliografske jedinice broj: 1185476

Basic calculus of pseudodifferential operators with nonsmooth symbols


Ivec, Ivan; Vojnović, Ivana
Basic calculus of pseudodifferential operators with nonsmooth symbols // Journal of Pseudo-Differential Operators and Applications, 13 (2022), 2; 13, 34 doi:10.1007/s11868-022-00443-0 (međunarodna recenzija, članak, znanstveni)


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Naslov
Basic calculus of pseudodifferential operators with nonsmooth symbols

Autori
Ivec, Ivan ; Vojnović, Ivana

Izvornik
Journal of Pseudo-Differential Operators and Applications (1662-9981) 13 (2022), 2; 13, 34

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Pseudodifferential operators ; Nonsmooth symbols ; Symbol calculus ; Oscillatory integrals

Sažetak
We show that basic calculus of pseudodifferential operators including asymptotic formulae and oscillatory integral representations for the symbol of the composition and the formal adjoint can partially be saved even when we deal with symbols that are not necessarily of class C^∞, but only have continuous partial derivatives up to some finite order.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-IP-2018-01-2449 - Mikrolokalni defektni alati u parcijalnim diferencijalnim jednadžbama (MiTPDE) (Antonić, Nenad, HRZZ - 2018-01) ( CroRIS)

Ustanove:
Metalurški fakultet, Sisak

Profili:

Avatar Url Ivan Ivec (autor)

Poveznice na cjeloviti tekst rada:

doi

Citiraj ovu publikaciju:

Ivec, Ivan; Vojnović, Ivana
Basic calculus of pseudodifferential operators with nonsmooth symbols // Journal of Pseudo-Differential Operators and Applications, 13 (2022), 2; 13, 34 doi:10.1007/s11868-022-00443-0 (međunarodna recenzija, članak, znanstveni)
Ivec, I. & Vojnović, I. (2022) Basic calculus of pseudodifferential operators with nonsmooth symbols. Journal of Pseudo-Differential Operators and Applications, 13 (2), 13, 34 doi:10.1007/s11868-022-00443-0.
@article{article, author = {Ivec, Ivan and Vojnovi\'{c}, Ivana}, year = {2022}, pages = {34}, DOI = {10.1007/s11868-022-00443-0}, chapter = {13}, keywords = {Pseudodifferential operators, Nonsmooth symbols, Symbol calculus, Oscillatory integrals}, journal = {Journal of Pseudo-Differential Operators and Applications}, doi = {10.1007/s11868-022-00443-0}, volume = {13}, number = {2}, issn = {1662-9981}, title = {Basic calculus of pseudodifferential operators with nonsmooth symbols}, keyword = {Pseudodifferential operators, Nonsmooth symbols, Symbol calculus, Oscillatory integrals}, chapternumber = {13} }
@article{article, author = {Ivec, Ivan and Vojnovi\'{c}, Ivana}, year = {2022}, pages = {34}, DOI = {10.1007/s11868-022-00443-0}, chapter = {13}, keywords = {Pseudodifferential operators, Nonsmooth symbols, Symbol calculus, Oscillatory integrals}, journal = {Journal of Pseudo-Differential Operators and Applications}, doi = {10.1007/s11868-022-00443-0}, volume = {13}, number = {2}, issn = {1662-9981}, title = {Basic calculus of pseudodifferential operators with nonsmooth symbols}, keyword = {Pseudodifferential operators, Nonsmooth symbols, Symbol calculus, Oscillatory integrals}, chapternumber = {13} }

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