CONTENTS

1. On a Bilinear Estimate of Schrodinger Waves (Harmonic Analysis and Nonlinear Partial Differential Equations)----------------------1

　　　　Department of Mathematics, National Cheng Kung University・ National Center for Theoretical Science　　　Fang,Yung-fu

　

2. Fractional integral operators on Herz spaces (Harmonic Analysis and Nonlinear Partial Differential Equations)--------------------15

　　　　東海大学開発工学部　　　古谷 康雄　(Komori-Furuya,Yasuo)

　

3. ON THE PERSISTENCE PROPERTIES OF SOLUTIONS OF NONLINEAR DISPERSIVE EQUATIONS IN WEIGHTED SOBOLEV SPACES (Harmonic Analysis and Nonlinear Partial Differential Equations)---23

　　　　ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE / DEPARTMENT OF MATHEMATICS, UNIVERSITY OF CALIFORNIA　　　NAHAS,Joules / PONCE,Gustavo

　

4. Survey on global existence in the nonlinear Dirac equations in one spatial dimension (Harmonic Analysis and Nonlinear Partial Differential Equations)---37

　　　　Department of Mathematics, McMaster University　　　Pelinovsky,Dmitry

　

5. Olsen's inequality and its applications to Schrodinger equations (Harmonic Analysis and Nonlinear Partial Differential Equations)---51

　　　　Department of Mathematics, Kyoto University / Kobe City College of Technology / Graduate School of Mathematical Sciences, The University of Tokyo　　　SAWANO,Yoshihiro / SUGANO,Satoko / TANAKA,Hitoshi

　

6. Well-posedness and standing waves for the fourth-order non-linear Schrodinger-type equation (Harmonic Analysis and Nonlinear Partial Differential Equations)---81

　　　　Mathematical Institute, Tohoku University　　　SEGATA,Jun-ichi

　

7. Composition Operators on Function Spaces with Fractional Order of Smoothness (Harmonic Analysis and Nonlinear Partial Differential Equations)---93

　　　　Institut de Mathematiques de Jussieu, Universite Paris Diderot / Mathematisches Institut, FSU Jena　　　Bourdaud,Gerard / Sickel,Winfried

　

8. The existence of positive solutions to the semilinear elliptic equation involving the Sobolev and the Sobolev-Hardy critical terms (Harmonic Analysis and Nonlinear Partial Differential Equations)---133

　　　　Taida Institute for Mathematical Sciences, National Taiwan University / Taida Institute for Mathematical Sciences, National Taiwan University / Advanced Mathematical Institute, Osaka City University　　　Lin,Chang-Shou / Hsia,Chun-Hsiung / Wadade,Hidemitsu

　

9. Necessary and Sufficient Conditions for the Fractional Gagliardo-Nirenberg Inequalities and Applications to Navier-Stokes and Generalized Boson Equations (Harmonic Analysis and Nonlinear Partial Differential Equations)---159

　　　　Dept of Mathematics, King Saud University / L.M.P.T., Universite Francois Rabelais Tours / Department of Applied Physics, Waseda University / LMAM, School of Mathematical Sciences, Peking University　　　Hajaiej,Hichem / Molinet,Luc / Ozawa,Tohru / Wang,Baoxiang