Display Abstract

Title Resolvent estimates and space-time estimates for the wave equations

Name Kiyoshi Mochizukii
Country Japan
Email mochizuk@math.chuo-u.ac.jp
Submit Time 2014-03-25 02:46:20
Special Session 60: Recent advances in evolutionary equations
The wave equations with small potentials are considered in exterior domain of star-shard obstacles.Based on our resolvent estimates we shall show space time weighted estimates of solutions. Moreover, we treat behaviors of solutions when some dissipative terms are added. In two space-dimensional problem, the resolvent estimates are obtained as a joint work with H. Nakazawa (cf. next talk).