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Global exact boundary controllability for 1‐D quasilinear wave equations
Authors:Ke Wang
Institution:School of Mathematics Sciences, Fudan University, Shanghai 200433, People's Republic of China
Abstract:Based on the local exact boundary controllability for 1‐D quasilinear wave equations, the global exact boundary controllability for 1‐D quasilinear wave equations in a neighborbood of any connected set of constant equilibria is obtained by an extension method. Similar results are also given for a kind of general 1‐D quasilinear hyperbolic equations. Copyright © 2010 John Wiley & Sons, Ltd.
Keywords:quasilinear wave equation  quasilinear hyperbolic equation  local exact boundary controllability  global exact boundary controllability
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