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NCTS Webinar on Nonlinear Evolutionary Dynamics
 
09:00 - 10:30, October 13, 2022 (Thursday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
On the Quasiconvergence Property of Solutions of Semilinear Parabolic Equations on the Real Line
Peter Poláčik (University of Minnesota)

Abstract

In this talk, based on a joint project with Antoine Pauthier, we examine the large-time behavior of bounded solutions of reaction-diffusion equations on the real line. We give sufficient conditions on the initial data which guarantee that the corresponding solution is quasiconvergent, that is, all its locally uniform limit profiles as time approaches infinity are steady states. By examining examples of solutions that are not quasiconvergent, we also show that our results are nearly optimal for the initial data that have finite limits at

WebEx Linkhttps://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m75513eae22a82c68914960bbd8e5ef92

Meeting number (access code): 2512 450 4257
Meeting password: s5xNYtfjx63


 

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