Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This study of Schrödinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geometric partial differential equations. It presents important proofs, using tools from harmonic analysis, microlocal analysis, functional analysis, and topology. This includes a new proof of Keel-Tao endpoint Strichartz estimates, and a new proof of Bourgain's result for radial, energy-critical NLS. It also provides a detailed presentation of scattering results for energy-critical and mass-critical equations. This book is suitable as the basis for a one-semester course, and serves as a useful introduction to nonlinear Schrödinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.

Gross-Pitaevskii equations. --- Schrödinger equation. --- Differential equations, Nonlinear.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Mathematical physics --- Gross-Pitaevskii equations. --- Schrödinger equation. --- Standing waves --- Cluster analysis. --- Equations de Gross-Pitaevskii --- Schrödinger, Equation de --- Ondes stationnaires --- Classification automatique (Statistique) --- Standing waves. --- 51 <082.1> --- Mathematics--Series --- Schrödinger equation. --- Schrödinger, Equation de --- Cluster analysis --- Gross-Pitaevskii equations --- Schrödinger equation --- Stationary waves --- Waves --- Equation, Schrödinger --- Schrödinger wave equation --- Differential equations, Partial --- Particles (Nuclear physics) --- Wave mechanics --- WKB approximation --- Equations, Gross-Pitaevskii --- Nonlinear Schrödinger equations --- Schrödinger equations, Nonlinear --- Differential equations, Nonlinear --- Nonlinear wave equations --- Correlation (Statistics) --- Multivariate analysis --- Spatial analysis (Statistics)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Gross-Pitaevskii equations. --- Fractional calculus. --- Equations, Gross-Pitaevskii --- Nonlinear Schrödinger equations --- Schrödinger equations, Nonlinear --- Differential equations, Nonlinear --- Nonlinear wave equations --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Calculus --- Càlcul fraccional --- Càlcul