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Exact boundary observability for nonautonomous quasilinear wave equations
Authors:Lina Guo
Institution: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 _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  C2 solution" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">C2 solution
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