Global well-posedness and instability of an inhomogeneous nonlinear Schrödinger equation
From MaRDI portal
Publication:2354271
DOI10.1007/S00009-014-0403-4zbMath1319.35243OpenAlexW2032963896MaRDI QIDQ2354271
Publication date: 10 July 2015
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-014-0403-4
Related Items (4)
Some qualitative studies of the focusing inhomogeneous Gross-Pitaevskii equation ⋮ Minimizers of \(L^2\)-subcritical variational problems with spatially decaying nonlinearities in bounded domains ⋮ Inhomogeneous nonlinear high-order evolution equations ⋮ Limit of the blow-up solution for the inhomogeneous nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blowing-up semilinear wave equation with exponential nonlinearity in two space dimensions
- Scattering for the two-dimensional energy-critical wave equation
- Scattering theory in the energy space for a class of nonlinear Schrödinger equations
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Nonlinear Schrödinger equations in the Sobolev space of critical order
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
- Remarks on the semilinear Schrödinger equation
- Global well-posedness and scattering of a 2D Schrödinger equation with exponential growth
- Scattering for the critical 2-D NLS with exponential growth.
- Well- and Ill-posedness Issues for a Class of 2D Wave Equation with Exponential Growth
- On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient
- Decay of Solutions to a 2D Schrodinger Equation
- Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity
- Double logarithmic inequality with a sharp constant
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations
- Scattering of a 2D Schrödinger equation with exponential growth in the conformal space
- ENERGY CRITICAL NLS IN TWO SPACE DIMENSIONS
- Global well-posedness and linearization of a semilinear 2D wave equation with exponential type nonlinearity
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Global well-posedness of a damped Schrödinger equation in two space dimensions
This page was built for publication: Global well-posedness and instability of an inhomogeneous nonlinear Schrödinger equation
