Emerging Topics On Differential Equations And Their Applications - Proceedings On Sino-japan Conference Of Young Mathematicians : Proceedings on Sino-Japan Conference of Young Mathematicians

The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan.The topics discussed in this proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems. Preface; CONTENTS; A Spectral Theory of Linear Operators on Rigged Hilbert Spaces under Certain Analyticity Conditions H. Chiba; 1. Introduction; 2. A review of the spectral theory on rigged Hilbert spaces; References; Conditional Fredholm Determinant and Trace Formula for Hamiltonian Systems: a Survey X.-J. Hu and P.-H. Wang; 1. Introduction; 2. Hill Formula for S-periodic Hamiltonian systems; 2.1. Trace finite condition and conditional Fredholm determinant; 2.2. Hill formula and its application; 3. Trace formula in Hamiltonian systems; Acknowledgement; References The aim of the Sino-Japan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote scientific exchanges and collaborations among young mathematicians both from China and Japan. The topics discussed in the proceedings include mean curvature flows, KAM theory, N-body problems, flows on Riemannian manifolds, hyperbolic systems, vortices, water waves, and reaction diffusion systems