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math.AP2019★ 8 cited
Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential
François Golse, Maria Pia Gualdani, Cyril Imbert +1
We prove that the set of singular times for weak solutions of the space homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal.…
math.AP2019★ 9 cited
An overview on the standing waves of nonlinear Schrödinger and Dirac equations on metric graphs with localized nonlinearity
William Borrelli, Raffaele Carlone, Lorenzo Tentarelli
We present a brief overview on the existence/nonexistence of standing waves for the NonLinear Schrödinger and the NonLinear Dirac Equations (NLSE/NLDE) on metric graphs with locali…