On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability
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Publication:5889063
DOI10.1090/memo/1409OpenAlexW2971619253MaRDI QIDQ5889063
Publication date: 26 April 2023
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.01055
NLS equations (nonlinear Schrödinger equations) (35Q55) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Blow-up in context of PDEs (35B44)
Related Items (7)
A Liouville theorem for the Chern-Simons-Schrödinger equation ⋮ Nonflat conformal blow-up profiles for the 1-dimensional critical nonlinear Schrödinger equation ⋮ Sharp universal rate for stable blow-up of corotational wave maps ⋮ Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation ⋮ Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations ⋮ On threshold solutions of the equivariant Chern-Simons-Schrödinger equation ⋮ On uniqueness of multi-bubble blow-up solutions and multi-solitons to \(L^2\)-critical nonlinear Schrödinger equations
Cites Work
- On standing waves with a vortex point of order \(N\) for the nonlinear Chern-Simons-Schrödinger equations
- Global wellposedness of the equivariant Chern-Simons-Schrödinger equation
- Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5
- Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem
- Energy solution to the Chern-Simons-Schrödinger equations
- On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions \(d \geqslant 2\)
- Standing waves of nonlinear Schrödinger equations with the gauge field
- Exotic blowup solutions for the \(u^5\) focusing wave equation in \(\mathbb{R}^{3}\)
- Blow up for the critical gKdV equation. II: Minimal mass dynamics
- On stability of pseudo-conformal blowup for \(L^{2}\)-critical Hartree NLS
- Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
- Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\)
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state
- Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
- On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
- Non-generic blow-up solutions for the critical focusing NLS in 1-D
- Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation
- The cubic nonlinear Schrödinger equation in two dimensions with radial data
- Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
- Asymptotic radial symmetry for solutions of \(\Delta u+e^ u=0\) in a punctured disc
- Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Two-bubble dynamics for threshold solutions to the wave maps equation
- Large data well-posedness in the energy space of the Chern-Simons-Schrödinger system
- Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
- Stability of the log-log bound for blow up solutions to the critical nonlinear Schrödinger equation
- Characteristic forms and geometric invariants
- On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
- Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- Construction of two-bubble solutions for the energy-critical NLS
- Full range of blow up exponents for the quintic wave equation in three dimensions
- Renormalization and blow up for charge one equivariant critical wave maps
- Strichartz estimates for the Schrödinger equation with radial data
- The instability of Bourgain-Wang solutions for the <i>L</i><sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> critical NLS
- Local Wellposedness of Chern–Simons–Schrödinger
- Blow up for the critical gKdV equation III: exotic regimes
- Decay and Scattering for the Chern–Simons–Schrödinger Equations
- Blow-up solutions of the Chern–Simons–Schrödinger equations
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Soliton solutions to the gauged nonlinear Schrödinger equation on the plane
- Collapse of Chern-Simons–Gauged Matter Fields
- Spherically Averaged Endpoint Strichartz Estimates For The TwoDimensional Schrödinger Equation
- Nonexistence of two-bubbles with opposite signs for the radial energy-critical wave equation
- Construction of two-bubble solutions for energy-critical wave equations
- Blowing up time-dependent solutions of the planar, Chern-Simons gauged nonlinear Schrodinger equation
- Self-Dual Chern-Simons Theories
- Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow
- Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS
- Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
- The equivalence of the Chern-Simons-Schrödinger equations and its self-dual system
- On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation
- Asymptotic N -soliton-like solutions of the subcritical and critical generalized Korteweg-de Vries equations
- On the formation of singularities in solutions of the critical nonlinear Schrödinger equation
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