Global dynamics for a class of inhomogeneous nonlinear Schrödinger equations with potential
Sign Up to like & getrecommendations! Published in 2021 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201900427
Abstract: We consider a class of L2‐supercritical inhomogeneous nonlinear Schrödinger equations with potential in three dimensions. In the focusing case, using a recent method of Dodson and Murphy, we first study the energy scattering below the… read more here.
Keywords: class; equations potential; nonlinear schr; inhomogeneous nonlinear ... See more keywords
Strong instability of solitary waves for inhomogeneous nonlinear Schrödinger equations
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7731
Abstract: This paper studies the inhomogeneous nonlinear Schrödinger equations, which may model the propagation of laser beams in nonlinear optics. Using the cross‐constrained variational method, a sharp condition for global existence is derived. Then, by solving… read more here.
Keywords: instability solitary; nonlinear schr; strong instability; inhomogeneous nonlinear ... See more keywords