Old and new questions in the regularity theory of the d-bar-Neumann problem – Gian Maria Dall'Ara (Scuola Normale Superiore di Pisa)


Aula Seminari


In this talk, I will discuss various questions in the analysis of the d-bar-Neumann problem, a classical noncoercive boundary value problem for the Laplacian whose regularity theory is of great importance in complex analysis and geometry. Despite the deep results established in the last 60 years (starting with seminal work by D. Spencer, J. J. Kohn, J. Nirenberg, E. Stein, C. Fefferman,…), several central questions remain unanswered. I will survey the field and comment on recent developments, in particular on my joint work with S. Mongodi (Università Milano-Bicocca). 

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