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math.AP2026
Blow-up for energy supercritical defocusing nonlinear Schrödinger equations in dimensions three, four and five
Kevin Buck, Alvaro Carballeira, Javier Gómez-Serrano +1
We prove finite time blow-up from smooth, radial, compactly supported initial data for the energy supercritical defocusing nonlinear Schrödinger equation $i\partial_tu+Δu-|u|^{p-1}…
math.AP2026
Double-wells in a strong magnetic field: absence of tunneling for infinitely many values of the coupling constant
Kevin Buck, Charles L. Fefferman, Javier Gómez-Serrano +3
We prove the fixed-potential conjecture of Fefferman, Shapiro, and Weinstein for inversion-symmetric magnetic double wells. We construct a number and one smooth, compactly…