Work

Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces

Year: 2025

Type: article

Abstract: We prove the existence of approximate solutions in the regular Denjoy–Carleman sense for some systems of smooth pairwise commuting complex vector fields. Such approximate solutions provide a well-defined notion of Denjoy–Carleman wave front set of distributions on $$\mathcal {C}^\infty $$ C ∞ -smooth maximally real submanifolds in complex space which can be characterized in terms of the decay of a Fourier–Bros–Iagolnitzer transform. We also apply the approximate solutions to analyze the Denjoy–Carleman microlocal regularity of solutions of certain systems of first-order nonlinear partial differential equations.

Source: Journal of Fourier Analysis and Applications

DOI: 10.1007/s00041-025-10144-z

Authors: Nicholas Braun Rodrigues, Antonio Victor da Silva

Institutions: Universidade Estadual de Campinas (UNICAMP), Hamad bin Khalifa University

Language: English

Topic: Mathematical and Theoretical Analysis

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Hamad Bin Khalifa University