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math.AP2012★ 4 cited
Blowup behaviour for the nonlinear Klein--Gordon equation
Rowan Killip, Betsy Stovall, Monica Visan
We analyze the blowup behaviour of solutions to the focusing nonlinear Klein--Gordon equation in spatial dimensions . We obtain upper bounds on the blowup rate, both globa…
math.AP2010★ 2 cited
Scattering for the cubic Klein--Gordon equation in two space dimensions
Rowan Killip, Betsy Stovall, Monica Visan
We consider both the defocusing and focusing cubic nonlinear Klein--Gordon equations in two space dimensions for real-valued initial data $u(0)\in…