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math.AP2012
Small data blow-up for a system of nonlinear Schrödinger equations
Tohru Ozawa, Hideaki Sunagawa
We give examples of small data blow-up for a three-component system of quadratic nonlinear Schrödinger equations in one space dimension. Our construction of the blowing-up solution…
math.AP2011
A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions
Soichiro Katayama, Tohru Ozawa, Hideaki Sunagawa
We consider the Cauchy problem for quadratic nonlinear Klein-Gordon systems in two space dimensions with masses satisfying the resonance relation. Under the null condition in the s…
math.AP2011★ 3 cited
Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance
Yuichiro Kawahara, Hideaki Sunagawa
We consider a nonlinear system of two-dimensional Klein-Gordon equations with masses satisfying the resonance relation. We introduce a structural condition on the nonlinearities un…