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Extra Form
강연자 김용정
소속 KAIST
date 2013-10-17
Studies on PDEs are mostly focused on ?nding properties of PDEs within a speci?c discipline and on developing a technique specialized to them. However, ?nding a common structure over di?erent disciplines and unifying theories from di?erent subjects into a generalized theory is the direction that mathematics should go in. The purpose of this talk is to introduce a geometric argument that combines Oleinik or Aronson-Benilan type one-sided estimates that arise from various disciplines from hyperbolic to parabolic problems. It is clear that algebraic or analytic formulas and estimates that depend on the speci?c PDE wouldn’t provide such a unified theory and hence we need a di?erent approach. In this talk we will see that a geometric structure of solutions will provide an excellent alternative in doing such a uni?cation. Ultimate goal of this project is to encourage people to make unified approach developing geometric view points.
Atachment
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 Partial differential equations with applications to biology file POSTECH 황형주
수학강연회 Limit computations in algebraic geometry and their complexity file POSTECH 현동훈
수학강연회 Variational Methods without Nondegeneracy file POSTECH 변재형
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
수학강연회 Deformation spaces of Kleinian groups and beyond file Osaka University Kenichi Ohshika
수학강연회 Solver friendly finite element methods file Oklahoma State Univ. 구자언
수학강연회 Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
수학강연회 Green’s function for initial-boundary value problem file National Univ. of Singapore Shih-Hsien Yu
수학강연회 Space.Time.Noise file Meijo University Takeyuki Hida
수학강연회 <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system file LG화학 안형준
Classification of simple amenable operator algebras file Lakehead University Grazia Viola
수학강연회 Class field theory for 3-dimensional foliated dynamical systems file Kyushu University Morishita Masanori
수학강연회 Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras file Kyoto University/서울대학교 Masaki Kashiwara
수학강연회 The classification of fusion categories and operator algebras file Kyoto University Masaki Izumi
수학강연회 Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
수학강연회 Sheaf quantization of Hamiltonian isotopies and non-displacability problems file Kyoto Univ./서울대학교 Masaki Kashiwara
수학강연회 The significance of dimensions in mathematics file Kyoto Univ./서울대학교 Heisuke Hironaka
수학강연회 Quasi-homomorphisms into non-commutative groups file Kyoto Univ. Koji Fujiwara
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