数学系Seminar第1908期 带空间阻尼项的半线性波方程的Strauss指标

创建时间:  2019/07/09  龚惠英   浏览次数:   返回

报告主题:带空间阻尼项的半线性波方程的Strauss指标
报告人:赖宁安   教授   (丽水学院)
报告时间:2019年7月12日(周五)9:00
报告地点:校本部G507
邀请人:刘见礼
主办部门:太阳成集团tyc33455数学系
报告摘要:It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent. In this work, we are devoted to showing the conjecture is true at least when the decay rate of the space dependent variable coefficients before the damping is larger than 2. Also, if the nonlinear term depends only on the derivative of the solution, we may prove the upper bound of the lifespan is the same as that of the solution of the corresponding problem without damping. This shows in another way the "hyperbolicity" of the equation.
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欢迎教师、员工参加!

上一条:物理学科Seminar第490讲 胆色素荧光蛋白的分子机理和超快动力学

下一条:今日化学系列报告 第225讲 石墨烯中纳米孔和纳米间隙的化学方法: 从生物分子检测到水过滤


数学系Seminar第1908期 带空间阻尼项的半线性波方程的Strauss指标

创建时间:  2019/07/09  龚惠英   浏览次数:   返回

报告主题:带空间阻尼项的半线性波方程的Strauss指标
报告人:赖宁安   教授   (丽水学院)
报告时间:2019年7月12日(周五)9:00
报告地点:校本部G507
邀请人:刘见礼
主办部门:太阳成集团tyc33455数学系
报告摘要:It is believed or conjectured that the semilinear wave equations with scattering space dependent damping admit the Strauss critical exponent. In this work, we are devoted to showing the conjecture is true at least when the decay rate of the space dependent variable coefficients before the damping is larger than 2. Also, if the nonlinear term depends only on the derivative of the solution, we may prove the upper bound of the lifespan is the same as that of the solution of the corresponding problem without damping. This shows in another way the "hyperbolicity" of the equation.
.

 

欢迎教师、员工参加!

上一条:物理学科Seminar第490讲 胆色素荧光蛋白的分子机理和超快动力学

下一条:今日化学系列报告 第225讲 石墨烯中纳米孔和纳米间隙的化学方法: 从生物分子检测到水过滤