The decay estimates of higher order elliptic operator

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:2021-09-14 09:00
:腾讯会议 ID:417717845(无密码)


时  间:914日上午9:00

地  点:腾讯会议 ID417717845(无密码)


It was well-known that the Lp decay estimates of Schrödinger operators, is a widely studied topic, which specially plays an important role in the well-posedness of nonlinear dispersive equations and the long time (asymptotic) stability of solitary waves. In this talk, we will address some recent works on the time decay estimates of the higher order elliptic operators (poly-harmonic type) with the decay potentials. Our methods depend on the detailed analysis of free resolvent and spectral perturbation techniques, where the classifications of zero resonances and zero asymptotic expansions of resolvent are the basic parts, which are indispensable to establish all kinds of results with general potentials. This talk mainly bases on joint-works with Avy Soffer and students.


尧小华,华中师范大学数学与统计学院教授、博士生导师,2010年入选教育部新世纪人才计划;主要从事调和分析与微分算子的研究,涉及色散方程、微分算子及函数空间等研究方向;其主要学术成果多次发表在“Comm. Math. Phys.” “Trans. AMS” “Inter. Math. Res. Notices”“J. Functional Analysis”“Siam J. Math. Appl.”等国际重要数学期刊上;主持过多项国家自然科学基金面上项目,教育部科学技术研究重点项目及新世纪优秀人才计划等科研项目。