Blow-up dynamics in the mass super-critical NLS equations

On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case

J. Ginibre, G. Velo · Journal of Functional Analysis · 1979 · 546 citations

Elliptic Equation, Cauchy Problem, Nonlinear Schrödinger Equations +5

Adaptivity with moving grids

Chris Budd, Weizhang Huang, Robert D. Russell · Acta Numerica · 2009 · 270 citations

Mathematical Programming, Numerical Analysis, Engineering +19

Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension

Gadi Fibich, George Papanicolaou · SIAM Journal on Applied Mathematics · 1999 · 261 citations

Photonics, Critical Dimension, Engineering +13

Sharp upper bound on the blow-up rate for the critical nonlinear Schr�dinger equation

Frank Merle, Pierre Raphaël · Geometric and Functional Analysis · 2003 · 250 citations

Nonlinear Wave Propagation, Parabolic Equation, Nonlinear Hyperbolic Problem +4

Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

Franck Merle · Duke Mathematical Journal · 1993 · 243 citations

Critical Power, Minimal Mass, Blow-up Solutions +1