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Exact boundary observability for nonautonomous quasilinear wave equations

Authors:	Lina Guo

Affiliation:	^a School of Mathematical Sciences, Fudan University, Shanghai 200433, China ^b Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie-Paris VI, Paris 75005, France

Abstract:	By means of a direct and constructive method based on the theory of semiglobal C² solution, the local exact boundary observability is shown for nonautonomous 1-D quasilinear wave equations. The essential difference between nonautonomous wave equations and autonomous ones is also revealed.

Keywords:	Nonautonomous quasilinear wave equation Exact boundary observability Semiglobal mmlsi2" onclick=" submitCitation('/science?_ob=MathURL& _method=retrieve& _eid=1-s2.0-S0022247X09009573& _mathId=si2.gif& _pii=S0022247X09009573& _issn=0022247X& _acct=C000054348& _version=1& _userid=3837164& md5=8572be27dc391ccfce78d54e860cd908')" style=" cursor:pointer " alt=" Click to view the MathML source" title=" Click to view the MathML source" > formulatext" title=" click to view the MathML source" >C² solution
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