Blowup of cylindrically symmetric solutions for biharmonic NLS
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Publication:6657205
DOI10.1017/S001309152400066XMaRDI QIDQ6657205
Publication date: 6 January 2025
Published in: Proceedings of the Edinburgh Mathematical Society. Series II (Search for Journal in Brave)
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)
Cites Work
- The focusing energy-critical fourth-order Schrödinger equation with radial data
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- The cubic fourth-order Schrödinger equation
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- Existence of solitary waves in higher dimensions
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction
- Dynamical collapse of cylindrical symmetric dipolar Bose-Einstein condensates
- Scattering for the focusingL2-supercritical andḢ2-subcritical biharmonic NLS equations
- Scattering theory for the fourth-order Schrödinger equation in low dimensions
- Singular solutions of theL2-supercritical biharmonic nonlinear Schrödinger equation
- Ring-type singular solutions of the biharmonic nonlinear Schrödinger equation
- Blow-up for the nonlinear Schrödinger equation in nonisotropic spaces
- Self-Focusing with Fourth-Order Dispersion
- Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime
- On finite time blow-up for a 3D Davey-Stewartson system
- Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations
- Blowup for Biharmonic NLS
- Singular Solutions of the Biharmonic Nonlinear Schrödinger Equation
- Strong Instability of Ground States to a Fourth Order Schrödinger Equation
- Ground state energy threshold and blow-up for NLS with competing nonlinearities
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