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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 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic file 건국대/서울대 최인송
Math Colloquia Random walks in spaces of negative curvature file Yale Univ. Giulio Tiozzo
Math Colloquia On Ingram’s Conjecture file University of Zagrab Sonja Stimac
Math Colloquia A dissipative effect on some PDEs with physical singularity file University of Wisconsin-Madison 김찬우
Math Colloquia Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
Math Colloquia Idempotents and topologies file University of Waterloo Nico Spronk
Math Colloquia Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
Math Colloquia Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
Math Colloquia Unprojection file University of Warwick / 서강대 Miles Reid
Math Colloquia Iwahori-Hecke algebras and beyond file University of Picardie Jules-Verne, Amiens 김성순
Math Colloquia Seifert fiberings file University of Oklahoma 이경배
Math Colloquia Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients file University of Illinois Renming Song
Math Colloquia Nonlocal generators of jump type Markov processes file University of Bielefeld Walter Hoh
Math Colloquia Unique ergodicity for foliations file Université Paris-Sud Nessim Sibony
Math Colloquia It all started with Moser file Univ. of Wisconsin/포항공대 Paul Rabinowitz
Math Colloquia Conservation laws and differential geometry file Univ. of Wisconsin Marshall Slemrod
Math Colloquia Number theoretic results in a family file Univ. of Toronto / KIAS Kim, Henry
Math Colloquia 학부생을 위한 강연: A COMBINATORIAL FORMULA FOR INFORMATION FLOW IN A NETWORK file Univ. of Rhode Island/서울대학교 국웅
Math Colloquia Sums of squares in quadratic number rings file Univ. of Kentucky David Leep
Math Colloquia Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
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