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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2 papers · 1 filter

math.AP2022★ 1 cited

Stability of Cnoidal Waves for the Damped Nonlinear Schrödinger Equation

Paolo Antonelli, Boris Shakarov

We consider the cubic nonlinear Schrödinger (NLS) equation with a linear damping on the one dimensional torus and we investigate the stability of some solitary wave profiles within…

math.AP2022★ 3 cited

Existence and asymptotic behavior for $L^{2}$ -norm preserving nonlinear heat equations

Paolo Antonelli, Piermarco Cannarsa, Boris Shakarov

We consider a nonlinear parabolic equation with a nonlocal term, which preserves the $L^{2}$ -norm of the solution. We study the local and global well posedness on a bounded domain, a…

Stability of Cnoidal Waves for the Damped Nonlinear Schrödinger Equation

Existence and asymptotic behavior for L2-norm preserving nonlinear heat equations

Existence and asymptotic behavior for $L^{2}$ -norm preserving nonlinear heat equations