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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.AP2012★ 2 cited
Semilinear hyperbolic systems violating the null condition
Soichiro Katayama, Toshiaki Matoba, Hideaki Sunagawa
We consider systems of semilinear wave equations in three space dimensions with quadratic nonlinear terms not satisfying the null condition. We prove small data global existence of…