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Qualitative properties of partial differential equations and several complex variables

Grant number: 12/17217-0
Support type:Regular Research Grants
Duration: November 01, 2012 - October 31, 2014
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal researcher:Gustavo Hoepfner
Grantee:Gustavo Hoepfner
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The maim purpose of the project is to continue the work undertaking by the grant Auxílio à Pesquisa Jovem Pesquisador 2008/01247-1, in the study of qualitative properties of partial diffe- rential equations, in connexion with harmonic analysis and functions of several complex variables. In particular, in the study of: i) microlocal analysis of solutions of first order non linear PDE's; ii) a priori estimates (compensated compactness) without the lower bound in the classe of Hardy spaces; iii) a priori estimates (compensated compactness) for elliptic systems of complex vector fields; iv) study of a new class of FBI transform to characterize regularity in the class of ultradifferentiable functions, in particular, Gevrey functions. (AU)

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