報告題目：Absorbing estimate implies trajectory statistical solutions for nonlinear elliptic equations in half-cylindrical domains

報告摘要：We reveal an essential property for a certain model nonlinear second-order elliptic equations in half-cylindrical domains, which is that absorbing estimate implies trajectory statistical solutions. The obtained results indicate that the trajectory statistical solutions associated with the elliptic equations satisfy the spatial Liouville theorem. The proofs rely on the theory of infinite-dimensional dynamical system and Kakutani-Riesz Representation Theorem. The approach and idea for construction trajectory statistical solutions presented here could be extended and developed to investigate the statistical solutions of elliptic equations on unbounded domains, which should open up the frontier of the study of statistical property of solutions for elliptic equations.

報告人簡介：趙才地，溫州大學(xué)特聘教授，韓國全南大學(xué)兼職博導(dǎo)，教育部學(xué)位中心通訊評審專家，國家自然科學(xué)基金委通訊評審專家，浙江省新世紀(jì)人才，溫州市領(lǐng)軍人才，主要從事非線性發(fā)展方程——無窮維動力系統(tǒng)方面的研究，在《Math. Ann》、《J. Differential Equations》、《Nonlinearity》、《Science China： Math》等期刊上發(fā)表論文60余篇，主持國家自然科學(xué)基金面上項目3項，青年基金和天元基金各1項，浙江省自然科學(xué)基金重點(diǎn)項目1項和面上項目2項，中國博士后科學(xué)基金1項，曾獲浙江省自然科學(xué)三等獎。

報告時間：2025年5月11日上午8:00-11:00

報告地點(diǎn)： 四樓會議室

主辦單位：湖北民族大學(xué)數(shù)學(xué)與統(tǒng)計學(xué)院

聯(lián)系人：唐利明

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