中 央 研 究 院 數 學 研 究 所 INSTITUTE OF MATHEMATICS ACADEMIA SINICA TAIPEI 10617, TAIWAN TEL : 886-2-23685999 FAX : 886-2-23689771 International Congress of Mathematics 2002 Satellite Conference – Taipei 2002 International Conference on Nonlinear Analysis 13 August – 17 August 2002 Institute of Mathematics, Academia Sinica Organized by Nai-Heng Chang 張乃珩 (Academia Sinica) Kin-Ming Hui 許健明 (Academia Sinica) Fon-Che Liu 劉豐哲 (Academia Sinica) Tai-Ping Liu 劉太平 (Academia Sinica) Organized by National Science Council 中 央 研 究 院 數 學 研 究 所 INSTITUTE OF MATHEMATICS ACADEMIA SINICA TAIPEI 10617, TAIWAN TEL : 886-2-23685999 FAX : 886-2-23689771 Table of Contents August 13, Tuesday, 2002 13:30 – 14:30 Kyuya Masuda (Himeji Institute of Technology) Analyticity of solutions for some evolution equations .......................................................................... 1 14:40 – 15:40 Vladimir Maz'ya (Linkoping University) The Schrödinger and the relativistic Schrödinger operators on the energy space: boundedness and compactness criteria ....................................................................................................................... 2 16:00 – 17:00 Mariano Giaquinta (Scuola Normale Superiore, Pisa) Graph currents and applications ............................................................................................................ 3 August 14, Wednesday, 2002 09:00 – 10:00 Claude Bardos (University of Paris 7) Mean field dynamics of N quantum particles, Hartree, Hartree Fock approximations and Coulomb Potential ................................................................................................................................. 4 10:10 – 11:10 Tadashi Kawanago (Tokyo Institute of Technology) Symmetry-breaking bifurcation phenomena in nonlinear vibration ..................................................... 5 11:20 – 12:20 Tong Yang (City University of Hong Kong) Nonlinear Boundary Layers of the Boltzmann Equation ...................................................................... 6 13:30 – 14:30 Tom Ilmanen (ETH Zurich) Singularities in Minimal Surfaces and Mean Curvature Flow .............................................................. 7 14:40 – 15:40 Chao-Nien Chen (National Changhua University of Education) On the multibump solutions of Hamiltonian systems ........................................................................... 8 15:50 – 16:50 Shih-Hsien Yu (City University of Hong Kong) A new scheme for singular perturbation problems in conservation laws with presence of shock waves ......................................................................................................................................... 9 17:00 – 18:00 Tai-Ping Liu (Academia Sinica) Shock waves ............................................................................................................................ 10 中 央 研 究 院 數 學 研 究 所 INSTITUTE OF MATHEMATICS ACADEMIA SINICA TAIPEI 10617, TAIWAN TEL : 886-2-23685999 FAX : 886-2-23689771 August 15, Thursday, 2002 09:00 – 10:00 Chiun-Chuan Chen (National Taiwan University) Symmetry of Solutions to Gradient and Skew-Gradient Systems ........................................................ 11 10:10 – 11:10 Bernold Fiedler (Freie Universitat Berlin) Quantitative Homogenization ............................................................................................................. 12 11:20 – 12:20 Jenn-Nan Wang (National Taiwan University) Uniqueness and stability in the Cauchy problem for a simple non-isotropic elasticity system ............ 13 August 16, Friday, 2002 09:00 – 10:00 Alberto Bressan (SISSA) Non-conservative Riemann Problems and Uniqueness ......................................................................... 14 10:10 – 11:10 Chun-kong Law (National Sun Yet-sun University) On the well-posedness of the inverse nodal problem ............................................................................ 15 11:20 – 12:20 Emilio Acerbi (Universita di Parma) Recent regularity results for elliptic systems ........................................................................................ 16 13:30 – 14:30 Franco Tomarelli (Politecnico di Milano) A Free Discontinuity Problem in Image Segmentation ......................................................................... 17 14:40 – 15:40 Tatyana Shaposhnikova (Linkoping University) Pointwise interpolation inequalities for derivatives and the composition operator in fractional Sobolev spaces ...................................................................................................................................... 18 15:50 – 16:50 Qing Han 17:00 – 18:00 Jae Ryong Kweon (Pohang University of Science and Tachnology) Corner singularity for compressible Navier-Stokes problem ................................................................ 19 August 17, Saturday, 2002 09:00 – 10:00 Neil Trudinger (Australian National University) Boundary value problems for the affine maximal surface equation...................................................... 20 10:10 – 11:10 Catherine Bandle (University of Basel) Nonlinear Boundary Value Problems in Spaces of Constant Curvature ........................................... 21 11:20 – 12:20 Horng-Tzer Yau (Harvard University) Classification of Asymptotic Dynamics for Nonlinear Schrödinger Equations with Small Initial Data ............. 22 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22.