prikaz prve stranice dokumenta Trilinear embedding for divergence-form operators with complex coefficients
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Trilinear embedding for divergence-form operators with complex coefficients
Advances in mathematics, 431 (2023); 1-72. https://doi.org/10.1016/j.aim.2023.109239
Carbonaro, Andrea; Dragičević, Oliver; Kovač, Vjekoslav; Škreb, Kristina Ana

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Carbonaro, A., Dragičević, O., Kovač, V. i Škreb, K. A. (2023). Trilinear embedding for divergence-form operators with complex coefficients. Advances in mathematics, 431., 1-72. doi: 10.1016/j.aim.2023.109239

Carbonaro, Andrea, et al. "Trilinear embedding for divergence-form operators with complex coefficients." Advances in mathematics, vol. 431, 2023, str. 1-72. https://doi.org/10.1016/j.aim.2023.109239

Carbonaro, Andrea, Oliver Dragičević, Vjekoslav Kovač i Kristina Ana Škreb. "Trilinear embedding for divergence-form operators with complex coefficients." Advances in mathematics 431 (2023): 1-72. https://doi.org/10.1016/j.aim.2023.109239

Carbonaro, A., et al. (2023) 'Trilinear embedding for divergence-form operators with complex coefficients', Advances in mathematics, 431, str. 1-72. doi: 10.1016/j.aim.2023.109239

Carbonaro A, Dragičević O, Kovač V, Škreb KA. Trilinear embedding for divergence-form operators with complex coefficients. Advances in mathematics [Internet]. 2023. [pristupljeno 01.10.2024.];431:1-72. doi: 10.1016/j.aim.2023.109239

A. Carbonaro, O. Dragičević, V. Kovač i K. A. Škreb, "Trilinear embedding for divergence-form operators with complex coefficients", Advances in mathematics, vol. 431, str. 1-72, 2023. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:376950. [Citirano: 01.10.2024.]

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Podaci o radu
Naslov (engleski)Trilinear embedding for divergence-form operators with complex coefficients
AutorAndrea Carbonaro
AutorOliver Dragičević
AutorVjekoslav Kovač
AutorKristina Ana Škreb
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		PRIRODNE ZNANOSTI
Matematika
Sažetak (engleski)
We prove a dimension-free Lp(Ω)×Lq(Ω)×Lr(Ω)→L1(Ω×(0,∞)) embedding for triples of elliptic operators in divergence form with complex coefficients and subject to mixed boundary conditions on Ω, and for triples of exponents p,q,r∈(1,∞) mutually related by the identity 1/p+1/q+1/r=1. Here Ω is allowed to be an arbitrary open subset of Rd. Our assumptions involving the exponents and coefficient matrices are expressed in terms of a condition known as p-ellipticity. The proof utilizes the method of Bellman functions and heat flows. As a corollary, we give applications to (i) paraproducts and (ii) square functions associated with the corresponding operator semigroups, moreover, we prove (iii) inequalities of Kato-Ponce type for elliptic operators with complex coefficients. All the above results are the first of their kind for elliptic divergence-form operators with complex coefficients on arbitrary open sets. Furthermore, the approach to (ii), (iii) through trilinear embeddings seems to be new.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaAdvances in mathematics
Brojčani podacivol. 431, str. 1-72
e-ISSN1090-2082
DOIhttps://doi.org/10.1016/j.aim.2023.109239
URN:NBNurn:nbn:hr:237:376950
Datum objave publikacije2023
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-05 06:58:13