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Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity

✍ Scribed by Bégout, Pascal; Díaz, Jesús Ildefonso


Book ID
121551906
Publisher
Springer Milan
Year
2014
Tongue
English
Weight
360 KB
Volume
109
Category
Article
ISSN
1578-7303

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We present numerical simulations of a new type of singular solutions of the critical nonlinear Schrödinger equation (NLS), that collapse with a quasi self-similar ring profile at a square root blowup rate. We find and analyze the equation of the ring profile. We observe that the self-similar ring pr