Extra Form
Lecturer 김용정
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.
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia A new view of Fokker-Planck equations in finite and Infinite dimensional spaces file Bielefeld Univ./Purdue Univ. Michael Roeckner
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
Math Colloquia 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
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
Math Colloquia The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
Math Colloquia Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia The Mathematics of the Bose Gas and its Condensation file KAIST 이지운
Math Colloquia Introduction to Non-Positively Curved Groups file KAIST 김상현
Math Colloquia 학부생을 위한 강연회: What is the algebraic number theory? file KAIST 구자경
Math Colloquia Topology of configuration spaces on graphs file KAIST 고기형
Math Colloquia Cloaking via Change of Variables file KAIST 임미경
Math Colloquia Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
Math Colloquia 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks file KAIST 정교민
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
Math Colloquia Essential dimension of simple algebras file KAIST 백상훈
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