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math.AP2015★ 10 cited
A Fujita-type blowup result and low energy scattering for a nonlinear Schrö\-din\-ger equation
Thierry Cazenave, Simão Correia, Flávio Dickstein +1
In this paper we consider the nonlinear Schrö\-din\-ger equation . We prove that if and , then every nontrivial -solution blow…
math.AP2015★ 4 cited
Non-regularity in Hölder and Sobolev spaces of solutions to the semilinear heat and Schrödinger equations
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler
In this paper we study the Cauchy problem for the semilinear heat and Schrödinger equations, with the nonlinear term . We show that low regularity of (i.e.,…