Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line

DOI10.1063/1.4941459zbMath1342.35341arXiv1508.01043OpenAlexW1932721995MaRDI QIDQ2795521

Türker Özsarı, Varga K. Kalantarov

Publication date: 21 March 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.01043

zbMATH Keywords

stabilizationnonlinear Schrödinger equationcritical exponentblow-up solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (10)

Blow-up of solutions of nonlinear Schrödinger equations with oscillating nonlinearities ⋮ Well-posedness and stability for Schrödinger equations with infinite memory ⋮ Stabilization of the weakly coupled Schrödinger system ⋮ Complex Ginzburg-Landau equations with dynamic boundary conditions ⋮ Critical exponent for global existence of solutions to the Schrödinger equation with a nonlinear boundary condition ⋮ Exponential stability for the nonlinear Schrödinger equation with locally distributed damping ⋮ Well-posedness of a higher dispersion KdV equation on the half-line ⋮ Blow-up criteria for linearly damped nonlinear Schrödinger equations ⋮ Well-posedness and lower bounds of the growth of weighted norms for the Schrödinger-Korteweg-de Vries interactions on the half-line ⋮ Well-posedness and energy decay estimates in the Cauchy problem for the damped defocusing Schrödinger equation

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