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Qualitative properties of partial differential equations and several complex variables

Abstract

The goal of this research project is to continue the investigation of the project under the framework of the program \textit{ Auxílio à Pesquisa} 2017/03825-1, to study qualitative properties of partial differential equations, as well its connexions with Geometric Measure Theory, Harmonic Analysis and Several Complex Variables. In particular we propose to study i) microlocal analysis;ii) elliptic boundary value problems in non-smooth domains;iii) study of a new class of FBI transform;iv) characterizations of radial Hardy spaces; andv) the $L^q$ global Denjoy-Carleman spaces and relations with Fourier transform and the restriction problem. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
HOEPFNER, G.; KAPP, R.; PICON, T. On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces. POTENTIAL ANALYSIS, v. 55, n. 3, p. 491-512, OCT 2021. Web of Science Citations: 0.
HOEPFNER, GUSTAVO; LIBONI, PAULO; MITREA, DORINA; MITREA, IRINA; MITREA, MARIUS. MULTILAYER POTENTIALS FOR HIGHER-ORDER SYSTEMS IN ROUGH DOMAINS. ANALYSIS & PDE, v. 14, n. 4, p. 1233-1308, 2021. Web of Science Citations: 0.
HOEPFNER, G.; KAPP, R.; PICON, T. On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces. POTENTIAL ANALYSIS, JUL 2020. Web of Science Citations: 0.

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