Nonflat conformal blow-up profiles for the 1-dimensional critical nonlinear Schrödinger equation

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5
Nonlinear Schrödinger equations and sharp interpolation estimates
Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity
Non-generic blow-up solutions for the critical focusing NLS in 1-D
Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation
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Blow up for the critical generalized Korteweg-de Vries equation. I: Dynamics near the soliton
Full family of flattening solitary waves for the critical generalized KdV equation
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Modulational Stability of Ground States of Nonlinear Schrödinger Equations
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Dynamics of bubbling wave maps with prescribed radiation
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On Pseudoconformal Blow-Up Solutions to the Self-Dual Chern-Simons-Schrödinger Equation: Existence, Uniqueness, and Instability
On the formation of singularities in solutions of the critical nonlinear Schrödinger equation
Construction of blow-up manifolds to the equivariant self-dual Chern-Simons-Schrödinger equation

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