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Extra Form
Lecturer 김용정
Dept. KAIST
date Oct 17, 2013
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
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Fefferman's program and Green functions in conformal geometry file 서울대학교 Raphaël Ponge
최고과학기술인상수상 기념강연: On the wild world of 4-manifolds file 서울대학교 박종일
정년퇴임 기념강연: Volume Conjecture file 서울대학교 김혁
Queer Lie Superalgebras file Univ. of Texas, Arlington Dimitar Grantcharov
Regularization by noise in nonlinear evolution equations file Dep. Math., Kyoto Univ. Yoshio Tsutsumi
A New Approach to Discrete Logarithm with Auxiliary Inputs file 서울대학교 천정희
Contact topology and the three-body problem file 서울대학교 Otto van Koert
Harmonic bundles and Toda lattices with opposite sign file RIMS, Kyoto Univ. Takuro Mochizuki
Mathematical Analysis Models and Siumlations file Collège de France Pierre-Louis Lions
Connes's Embedding Conjecture and its equivalent file RIMS Narutaka Ozawa
Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
학부생을 위한 ε 강연회: Mathematics from the theory of entanglement file 서울대학교 계승혁
L-function: complex vs. p-adic file 충북대학교 선해상
학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing file 서울대학교 신동우
A brief introduction to stochastic models, stochastic integrals and stochastic PDEs file 고려대학교 김경훈
Mixed type PDEs and compressible flow file POSTECH 배명진
Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic file 건국대/서울대 최인송
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