Well-posedness and existence of standing waves for the fourth order nonlinear Schrödinger type equation
From MaRDI portal
Publication:977930
DOI10.3934/DCDS.2010.27.1093zbMath1192.35167OpenAlexW1996502244MaRDI QIDQ977930
Publication date: 23 June 2010
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2010.27.1093
Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)
Related Items (9)
Multi solitary waves for a fourth order nonlinear Schrödinger type equation ⋮ Decay estimates and Strichartz estimates of fourth-order Schrödinger operator ⋮ The existence and stability of normalized solutions for a bi-harmonic nonlinear Schrödinger equation with mixed dispersion ⋮ Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrödinger type equation on torus ⋮ Scattering operator for the fourth order nonlinear Schrödinger equation ⋮ Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions ⋮ Stability of Hasimoto solitons in energy space for a fourth order nonlinear Schrödinger type equation ⋮ On a fourth‐order nonlinear Helmholtz equation ⋮ Well-posedness and scattering for fourth order nonlinear Schrödinger type equations at the scaling critical regularity
This page was built for publication: Well-posedness and existence of standing waves for the fourth order nonlinear Schrödinger type equation