| 강연자 | 김민현 |
|---|---|
| 소속 | 한양대학교 |
| date | 2024-09-26 |
Nonlocal equations, often modeled using the fractional Laplacian, have received significant attention in recent years. In this talk, we will briefly overview how the classical regularity theory for second-order (elliptic) PDEs (in divergence form) has been extended to fractional-order nonlocal equations. We will explore the Schauder, De Giorgi–Nash–Moser, Morrey–Campanato, and Calderón–Zygmund theories, and present some open problems in these fields.
Survey on a geography of model theory
The lace expansion in the past, present and future
<학부생을 위한 ɛ 강연> 색과 그래프: 그래프 색칠 문제의 매력과 도전
Regularity theory for nonlocal equations
Homogeneous dynamics and its application to number theory
On classification of long-term dynamics for some critical PDEs
Structural stability of meandering-hyperbolic group actions
Regularity for non-uniformly elliptic problems
From mirror symmetry to enumerative geometry
Universality of log-correlated fields
<학부생을 위한 ɛ 강연> 양자상태의 기하학
Class field theory for 3-dimensional foliated dynamical systems
Satellite operators on knot concordance
<정년퇴임 기념강연> 작용소대수와 양자정보이론
Entropy of symplectic automorphisms
Equations defining algebraic curves and their tangent and secant varieties
Descent in derived algebraic geometry
Toward bridging a connection between machine learning and applied mathematics
Vlasov-Maxwell equations and the Dynamics of Plasmas
Study stochastic biochemical systems via their underlying network structures
