Boris Shakarov

activity

20202026

H^{s}, s > 0

Large Data Solutions of 2D Dirac Equation with Hartree Type Interaction

3 citations · 8 across the 13 of their papers we have counts for

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math.AP2024

Global solutions and Asymptotic Behavior to a Norm-preserving Non-local Parabolic Flow

Boris Shakarov

We consider a nonlinear parabolic model that forces solutions to stay on a $L^{2}$ -sphere through a nonlocal term in the equation. We study the local and global well-posedness on a b…

math.AP2024

Ground states on a fractured strip and one dimensional reduction

Stefan Le Coz, Boris Shakarov

We consider the nonlinear Schr\''odinger equation on a strip with Neumann boundary conditions and a delta condition on the $x$ -axis. First, we show the existence of ground states a…