2023-2 Long-time Behavior of PDE (임덕우)

상산수리과학관 20주년 기념강연

Lagrangian Floer theory in symplectic manifold associate a category (A infinity category) to a symplectic manifold. More than 20 years ago a relation of a relation between Lagrangian Floer theory and Gauge theory was studied by Floer himself...

상산수리과학관 20주년 기념강연

Fokker-Planck and Kolmogorov (backward) equations can be interpreted as linearisations of the underlying stochastic differential equations (SDE). It turns out that, in particular, on infinite dimensional spaces (i.e. for example if the SDE i...

Let be a cyclic group with generator . The discrete logarithm problem with auxiliary inputs (DLPwAI) is asked to find with auxiliary inputs , ,…, . In Eurocrypt 2006, an algorithm is proposed to solve DLPwAI in when . In this paper, we reduc...

We derive a general solution of the heat equation through two modied separation methods. The obtained solution is expressed as linearly combined kernel solutions in terms of Hermite polynomials, which appears to provide an explanation of non...

초록: In this lecture, we study various dissipative effect in a phase space from either entropy dissipation or boundary. We see how this effect leads mathematical studies on long time behavior and scale-uniform estimate of kinetic PDEs in g...

Stochastic Model, Integrals 그리고 PDE의 기본 개념과 최신 연구 동향을 소개한다.

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The disk embedding problem is of fundamental importance in the study of 4-dimensional topology. I will discuss its significance and difficulty, including how disk embedding makes dimension four intrinsically different from other dimensions. ...