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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 Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
수학강연회 Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
수학강연회 Categorification of Donaldson-Thomas invariants file 서울대학교 김영훈
수학강연회 Noncommutative Surfaces file 서강대학교 Jens Hoppe
수학강연회 The Shape of Data file Stanford University Gunnar E. Carlsson
수학강연회 Topological aspects in the theory of aperiodic solids and tiling spaces file Georgia Institute of Technology, School of Mathematics and School of Physics Jean V. Bellissard
수학강연회 Subgroups of Mapping Class Groups file 서울대학교 김상현
수학강연회 Analytic torsion and mirror symmetry file Kyoto University Ken-ichi Yoshikawa
수학강연회 Fefferman's program and Green functions in conformal geometry file 서울대학교 Raphaël Ponge
수학강연회 정년퇴임 기념강연: Volume Conjecture file 서울대학교 김혁
수학강연회 Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
수학강연회 Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
수학강연회 Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
수학강연회 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement file 서울대학교 계승혁
수학강연회 L-function: complex vs. p-adic file 충북대학교 선해상
수학강연회 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing file 서울대학교 신동우
수학강연회 A brief introduction to stochastic models, stochastic integrals and stochastic PDEs file 고려대학교 김경훈
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
수학강연회 Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
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