Analysis, PDEs, and Applications
Extended Abstracts of the Summer School and Conference Celebrating Martin Grigoryan's 70th Birthday
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Beschreibung
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.
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.
Contains concise notes of lectures on advanced and trendy mathematical topics by respective specialists Presents extended abstracts of talks on subjects of high interest, many of them by some of the most prominent experts Covers a wide range of topics in mathematical analysis, partial differential equations and their applications
Autor*in
Zhirayr Avetisyan
Themen in »Analysis, PDEs, and Applications«
Singular Partial Differential Equations Non-commutative Harmonic Analysis Spectral Theory of Differential Operators Orthogonal Systems and Approximations Fourier Integral Operators Non-linear Parabolic Partial Differential Equations Partial Differential Equations in Cosmological Models Hypercomplex and Clifford Analysis Applications of Analysis in Logic Wiener Amalgam Spaces Geometric Analysis