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math.AP2026
Damped nonlinear Ginzburg-Landau equation with saturation. Part I. Existence of solutions on general domains
Pascal Bégout, Jesús Ildefonso DÃaz
We study the complex Ginzburg-Landau equation posed on possibly unbounded domains, including some singular and saturated nonlinear damping terms. This model interpolates between th…
math.AP2026
Strong stabilization of damped nonlinear Schr{ö}dinger equation with saturation on unbounded domains
Pascal Bégout, Jesús Ildefonso DÃaz
We consider the damped nonlinear Schr\''{o}dinger equation with saturation: i.e., the complex evolution equation contains in its left hand side, besides the potential term …