Bilinear estimates for the transport equations

Machihara, Shuji

doi:10.2969/aspm/04710189

VOL. 47.1 | 2007 Bilinear estimates for the transport equations

Chapter Author(s) Shuji Machihara

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Adv. Stud. Pure Math., 2007: 189-196 (2007) DOI: 10.2969/aspm/04710189

Abstract

This note consists of the several types of bilinear estimates for the solutions of transport equations in one space dimension. As applications, the time local wellposedness results for the systems of these equations with quadratic interaction terms are shown.