報(bào)告人：趙才地 溫州大學(xué) 教授

時(shí)間: 04月11日（周五）下午04: 20-05: 10

地點(diǎn)：X30456

摘要： In this talk, we reveal an essential property for a certain model nonlinear second-order elliptic equations in half-cylindrical domains, which is that absorbing estimation 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 the whol cylindrical domains, which should open up the frontier of the study of statistical property of solutions for elliptic equations.

個(gè)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)，浙江省新世紀(jì)人才，溫州市科技創(chuàng)新領(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，從無窮維動力系統(tǒng)的途徑研究偏微分方程的不變測度和統(tǒng)計(jì)解，在一些典型非線性偏微分方程的統(tǒng)計(jì)解、軌道統(tǒng)計(jì)解以及隨機(jī)偏微分方程的不變樣本測度等方面取得若干成果，在《Math. Ann》、《J. Differential Equations》、《Nonlinearity》、《Adv. Differential Equations》、《Science China： Math》等期刊上發(fā)表論文80余篇，主持國家自然科學(xué)基金面上項(xiàng)目3項(xiàng)，青年基金和天元基金各1項(xiàng)，浙江省自然科學(xué)基金重點(diǎn)項(xiàng)目1項(xiàng)和面上項(xiàng)目2項(xiàng)，中國博士后科學(xué)基金1項(xiàng)，曾獲浙江省自然科學(xué)三等獎(jiǎng)。

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