On an elliptic equation related to the blow-up phenomenon in the nonlinear Schrödinger equation
- 1 January 1993
- journal article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 123 (4) , 763-782
- https://doi.org/10.1017/s030821050003095x
Abstract
No abstract availableThis publication has 17 references indexed in Scilit:
- Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical powerNonlinear Analysis, 1990
- Uniqueness of positive solutions of Δu−u+up=0 in RnArchive for Rational Mechanics and Analysis, 1989
- Nonexistence theorems for singular solutions of quasilinear partial differential equationsCommunications on Pure and Applied Mathematics, 1986
- Uniqueness of non-negative solutions of semilinear equations in RnJournal of Differential Equations, 1986
- On the structure and formation of singularities in solutions to nonlinear dispersive evolution equationsCommunications in Partial Differential Equations, 1986
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general caseJournal of Functional Analysis, 1979
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equationsJournal of Mathematical Physics, 1977
- Existence of solitary waves in higher dimensionsCommunications in Mathematical Physics, 1977
- Self-focusing phenomena in air-glass laser structuresIEEE Journal of Quantum Electronics, 1975
- Self-Trapping of Optical BeamsPhysical Review Letters, 1964