LOCAL WELL-POSEDNESS AND ILL-POSEDNESS ON THE EQUATION OF TYPE □u = uk((e)u)α

• 作 者: Fang Daoyuan WANG CHENGBO
• 机 构: Department of Mathematics
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2004年期
• 关键词: Semilinear wave equation Low regularity Local well-posedness Ill-posedness
• 基金项目: 国家自然科学基金

This paper undertakes a systematic treatment of the low regularity local wellposedness and ill-posedness theory in Hs andHs for semilinear wave equations with polynomial nonlinearity in u and (e)u. This ill-posed result concerns the focusing type equations with nonlinearity on u and (e)tu.