UNICA IRIS Institutional Research Information System
IRIS è il sistema di gestione integrata dei dati della ricerca (persone, progetti, pubblicazioni, attività) adottato dall'Università degli Studi di Cagliari dal mese di luglio 2015.
EnglishWe show that all eigenfunctions of linear partial differential operators in $R^n$ with polynomial coefficients. We also show that under semilinear polynomial perturbations all nonzero homoclinics keep the super-exponential decay of the above type, whereas a loss of the holomorphicity occurs. Our estimates on homoclinics are sharp. of Shubin type are extended to entire functions in $C^n$ of finite exponential type 2 and decay like $exp(−|z|2)$ for $|z|\to \infty$ in conic neighbourhoods of the form $|Im z| \leq |Re z|$.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Super-exponential decay and holomorphic extensions for semilinear equations with polynomial coefficients | |
| Autori: | ||
| Data di pubblicazione: | 2006 | |
| Rivista: | ||
| Abstract: | We show that all eigenfunctions of linear partial differential operators in $R^n$ with polynomial coefficients. We also show that under semilinear polynomial perturbations all nonzero homoclinics keep the super-exponential decay of the above type, whereas a loss of the holomorphicity occurs. Our estimates on homoclinics are sharp. of Shubin type are extended to entire functions in $C^n$ of finite exponential type 2 and decay like $exp(−|z|2)$ for $|z|\to \infty$ in conic neighbourhoods of the form $|Im z| \leq |Re z|$. | |
| Handle: | http://hdl.handle.net/11584/17358 | |
| Tipologia: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11584/17358
Copyright © 2022