Well-posedness for the fourth-order Schrödinger equations with quadratic nonlinearity

zbMath1232.35160MaRDI QIDQ553404

Ji Qiang Zheng

Publication date: 27 July 2011

Published in: Advances in Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Nonlinear evolution equations (47J35)

Related Items (5)

Norm inflation for the generalized Boussinesq and Kawahara equations ⋮ On the decay property of the cubic fourth-order Schrödinger equation ⋮ Sharp well-posedness of the Cauchy problem for the fourth order nonlinear Schrödinger equation ⋮ Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds ⋮ The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line

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