Fourier extension estimates for symmetric functions and applications to nonlinear Helmholtz equations
Yazarlar (2)
Tobias Weth Goethe-Universität Frankfurt Am Main, Almanya
Doç. Dr. Tolga Acar YEŞİL Sinop Üniversitesi, Türkiye
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Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Annali Di Matematica Pura Ed Applicata (Q2) | ||
| Dergi ISSN | 0373-3114 Dergi Bilgileri (2021) | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2021 |
| Kabul Tarihi | 10-02-2021 | Yayınlanma Tarihi | 31-03-2021 |
| Cilt / Sayı / Sayfa | 200 / 6 / 2423–2454 | DOI | 10.1007/s10231-021-01086-6 |
| Makale Linki | https://link.springer.com/content/pdf/10.1007/s10231-021-01086-6.pdf | ||
| UAK Araştırma Alanları |
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| Özet |
| We establish weighted Lp-Fourier extension estimates for O(N- k) × O(k) -invariant functions defined on the unit sphere SN-1, allowing for exponents p below the Stein–Tomas critical exponent 2(N+1)N-1. Moreover, in the more general setting of an arbitrary closed subgroup G⊂ O(N) and G-invariant functions, we study the implications of weighted Fourier extension estimates with regard to boundedness and nonvanishing properties of the corresponding weighted Helmholtz resolvent operator. Finally, we use these properties to derive new existence results for G-invariant solutions to the nonlinear Helmholtz equation -Δu-u=Q(x)|u|p-2u,u∈W2,p(RN),where Q is a nonnegative bounded and G-invariant weight function. |
| Anahtar Kelimeler |
BM Sürdürülebilir Kalkınma Amaçları
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| Scopus | 4 |