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math.AP2019
Blowup solutions for the nonlinear Schrödinger equation with complex coefficient
Shota Kawakami, Shuji Machihara
We construct a finite time blow up solution for the nonlinear Schrödinger equation with the power nonlinearity whose coefficient is complex number. We generalize the range of both…
math.FA2019
A supersolutions perspective on hypercontractivity
Yosuke Aoki, Jonathan Bennett, Neal Bez +3
The purpose of this article is to expose an algebraic closure property of supersolutions to certain diffusion equations. This closure property quickly gives rise to a monotone quan…