Geometric Analysis of PDEs and Several Complex Variables

This volume convenes selected, peer-reviewed papers presented at the international workshop dedicated to Dr. Jorge Hounie on the occasion of his 75th birthday, held in Serra Negra, Brazil, from July 31 to August 4, 2023. The papers in this volume cover areas that include several complex variables, Cauchy-Riemann geometry, and partial differential equations.

An Emeritus at the Federal University of São Carlos (UFScar), Brazil, Dr. Hounie has made significant contributions to partial differential equations, complex variables, harmonic analysis, and involutive structures. He has also been a kind and great mentor to numerous graduate students and postdocs who have gone on to pursue successful academic careers. Born in Bahia Blanca, Argentina, he completed his PhD studies at Rutgers University in 1974 and joined UFSCar as a Full Professor in 1995. He is a Full Member of the Brazilian Academy of Sciences.

Within this book, readers will encounter a collection of cutting-edge research papers reflecting Dr. Hounie's research interests, valuable for both experienced researchers and graduate students alike.

Showcases cutting-edge research in PDEs and several complex variables Discusses relevant problems in geometric analysis and its applications Gathers works from internationally renowned experts

Inhalt

On Some Of The Works Of Jorge Hounie.- On The Research Of J. Hounie: A Personal Statement.- The Taylor Expansion Of Cr Germs On A Class Of Levi Degenerate Models.- On A Model Sum Of Squares Operator.- On The Local Regularity Of The Gevrey Vectors For Hörmander's Operators.- Bergman Logarithmically Flat And Obstruction Flat Hypersurfaces And Their Cr Structures.- Analyticity In A Dispersive Camassa-Holm Equation With Cubic Nonlinearities.- Distributions With Decay And Restriction Problems.- Equality Of Commutator Type And Levi Form Type For An (N 2)-Dimensional Bundle.- Characterization Of Real-Analytic Infinitesimal Cr Automorphisms For A Class Of Hypersurfaces In C4.- On Some Singular Integrals Linked To Solvability And Signal Theory.- Report on the Paper on Spectral Properties Of Certain Semiregular Systems of Pdes with Polynomial Coefficients.- Friedrichs' Lemma For Besov And Triebel-Lizorkin Spaces.- On The Solvability Of Pseudodifferential Equations In Microdistributions.- Contribution to the study of closed 1-forms and its applications.