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Seminar第1908期 带空间阻尼项的半线性波方程的Strauss指标

创建日期 7/9/2019 福平   浏览次数  109 返回    
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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

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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