Linear non-degeneracy of the 1d blow-up limit in the phase segregation of Bose-Einstein condensates
classification
🧮 math.AP
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blow-upinterfacenon-degeneracybecsbose-einsteincondensatesdimensionsdirection
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We show that the kernel of the linearization of the blow-up problem at the regular part of the interface that separates segregated BECs is one-dimensional, generated by translations in the normal direction to the interface. This useful non-degeneracy property was previously known only in one and two dimensions.
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