High-fidelity simulations and data-driven analysis of transitional and turbulent c...
Well-posedness and qualitative properties for nonlinear PDEs
High-fidelity simulations and data-driven analysis of transitional and turbulent c...
| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] ICMC USP Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Fed Itajuba, ICE DMC, BR-37500903 Itajuba, MG - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Mathematische Nachrichten; v. 285, n. 17-18, p. 2222-2232, DEC 2012. |
| Web of Science Citations: | 3 |
| Abstract | |
We consider integral operators generated by square integrable kernels on an abstract measure space. Under smoothness assumptions defined by the action of a convenient multiplier-like operator on the kernel, we deduce decay rates for either the eigenvalues or the singular values of the integral operator. The setting is an abstract framework which encompasses classical cases that have appeared in different sources in the literature. (C) 2012 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim (AU) | |
| FAPESP's process: | 10/19734-6 - Analysis of integral operators generated by positive definite kernels |
| Grantee: | Valdir Antonio Menegatto |
| Support Opportunities: | Regular Research Grants |