{"title":"Control and Inverse Problems for Partial Differential Equations","authors":"G. Bao, J. Coron, Tatsien Li","doi":"10.1142/11152","DOIUrl":"https://doi.org/10.1142/11152","url":null,"abstract":"","PeriodicalId":292296,"journal":{"name":"Series in Contemporary Applied Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126744423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamics of Nonlinear Wave Equations","authors":"C. Miao, Jiqiang Zheng","doi":"10.1142/9789811208379_0001","DOIUrl":"https://doi.org/10.1142/9789811208379_0001","url":null,"abstract":"In this lecture, we will survey the study of dynamics of the nonlinear wave equation in recent years. We refer to some lecture notes including such as C. Kenig cite{Kenig01,Kenig02}, C. Kenig and F. Merle cite{KM1} J. Shatah and M. Struwe cite{SS98}, and C. Sogge cite{sogge:wave} etc. This lecture was written for LIASFMA School and Workshop on Harmonic Analysis and Wave Equations in Fudan universty.","PeriodicalId":292296,"journal":{"name":"Series in Contemporary Applied Mathematics","volume":" 14","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120828754","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Mini-Course on Stochastic Control","authors":"Qi Lu, Xu Zhang","doi":"10.1142/9789813276154_0004","DOIUrl":"https://doi.org/10.1142/9789813276154_0004","url":null,"abstract":"This note is addressed to giving a short introduction to control theory of stochastic systems, governed by stochastic differential equations in both finite and infinite dimensions. We will mainly explain the new phenomenon and difficulties in the study of controllability and optimal control problems for these sort of equations. In particular, we will show by some examples that both the formulation of stochastic control problems and the tools to solve them may differ considerably from their deterministic counterpart.","PeriodicalId":292296,"journal":{"name":"Series in Contemporary Applied Mathematics","volume":"35 9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125725018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}