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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
Math Colloquia What is model theory? file 연세대 김병한
Math Colloquia Integer partitions, q-series, and Modular forms file 서울과학기술 대학 김병찬
Math Colloquia On the distributions of partition ranks and cranks file 서울과학기술대학교 김병찬
Math Colloquia Topology and number theory file Univ. College London/포항공대 김민형
Math Colloquia <정년퇴임 기념강연> 수학의 시대정신(?) file 서울대학교 수리과학부 김명환
Math Colloquia Subword complexity, expansion of real numbers and irrationality exponents file 동국대 김동한
Math Colloquia The Lagrange and Markov Spectra of Pythagorean triples file 동국대학교 김동한
Math Colloquia 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까? file KAIST 김동수
Math Colloquia <학부생을 위한 ɛ 강연> Intuition, Mathematics and Proof file KAIST 수리과학과 김동수
Math Colloquia Arithmetic of elliptic curves file 서울대 김도형
Math Colloquia 정년퇴임 기념강연: 회고 file 서울대 김도한
Math Colloquia A brief introduction to stochastic models, stochastic integrals and stochastic PDEs file 고려대학교 김경훈
Math Colloquia Noise-induced phenomena in stochastic heat equations file 포항공대 김건우
Math Colloquia Zeros of linear combinations of zeta functions file 연세대학교 기하서
Math Colloquia Zeros of the derivatives of the Riemann zeta function file 연세대 기하서
Math Colloquia Weyl character formula and Kac-Wakimoto conjecture file 서울대 권재훈
Math Colloquia Compressible viscous Navier-Stokes flows: Corner singularity, regularity file POSTECH 권재룡
Math Colloquia Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
Math Colloquia Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
Math Colloquia Contact topology of singularities and symplectic fillings file 순천대학교 권명기
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