Analysis, PDEs, and Applications: Extended Abstracts of the Summer School and Conference Celebrating Martin Grigoryan's 70th Birthday (Trends in Mathematics, 13)

The present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "Analysis, PDEs and Applications" held 24 June - 6 July 2024 at Yerevan State University, Armenia. The thematic scope of contributions includes linear and non-linear partial differential equations, spectral theory and microlocal analysis, harmonic and functional analysis, theory of functions and approximation theory, and applications in mathematical physics. Each talk or lecture begins with a survey of a body of mathematical work, either classic or modern, leading up to recent advances. This is followed by an exposition of either a specific research problem or a broader area of modern mathematical research, presented by an expert in the field.

The volume will be of interest to not only students and young researchers, but also experts looking for a crash course in the main concepts and ideas in one of the many advanced mathematical topics discussed.

Zhirayr Avetisyan is a research fellow at the Ghent Analysis and PDE Center at Ghent University, Belgium.

Michael Ruzhansky is a senior full professor of mathematics and director of the Ghent Analysis and PDE Center at Ghent University, Belgium. He is also a professor of mathematics at Queen Mary University of London, United Kingdom.

Armen Vagharshakyan is a senior researcher at the Institute of Mathematics, Armenian National Academy of Sciences, Armenia.