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math.AP2017★ 47 cited
Breather Solutions of the Nonlinear Wave Equation
Satyanad Kichenassamy
We construct series solutions to all orders for breathers of Klein-Gordon equations, in powers of an amplitude parameter epsilon, under a sign condition on the coefficients of the…
math.AP2017★ 3 cited
Control of blow-up singularities for nonlinear wave equations
Satyanad Kichenassamy
While the global boundary control of nonlinear wave equations that exhibit blow-up is generally impossible, we show on a typical example, motivated by laser breakdown, that it is p…