(讲座时间更改)研究生教育创新计划高水平学术前沿讲座【Michel Chipot】

时间:2019-03-18

课程名称:On Some Nonlinear Parabolic Problems and Free Boundaries 
授课教师:Michel Chipot,苏黎世大学教授 欧洲科澳门新葡新京官方网站院士 中国科学技术大学访问教授
授课时间:3月30日,4月6日,4月13日 上午8:30-11:30
        4月1日,4月8日,4月15日,4月22日 晚上7:00-9:00
授课地点:管研楼澳门新葡新京1418教室

课程概况:
The course will address some of the following issues :
∂. Existence and uniqueness of solution for parabolic nonlinear problems.
∂. Blow up and blow up techniques.
∂. Global existence.
∂. Stationary points and asymptotic behaviour.
∂. Applications to some classical model problems.
∂. Nonlocal parabolic problems.
∂. Introduction to free boundary problems.
∂. Stefan problem.
∂. Variational Inequalities.
∂. Obstacle problems.
∂. Flows in porous media.
∂. Regularity of free boundaries.
∂. Recent advances.
References
[1] M. Chipot : Elements of Nonlinear Analysis. Birkh¨auser Advanced Texts, 2000.
[2] M. Chipot : Elliptic Equations: An Introductory Course. Birkh¨auser Advanced Texts,
2009.
[3] P. Quittner, P. Souplet: Superlinear Parabolic Problems. Birkh¨auser Advanced Texts,
2007.
[4] D. Kinderlehrer and G. Stampacchia: An Introduction to Variational Inequalities and
Their Applications. Classic Appl. Math., 31, SIAM, Philadelphia,2000.

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