An Inhomogeneous Boundary Value Problem for Nonlinear Schrödinger Equations

By Walter A. Strauss, Charles Bu. 2001

68 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2287ece9f17d201bc37d6cdc5344aee6b901b10c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Mehmet Burak Erdogan
2. Justin Holmer

In Control and Systems Engineering

1. Nikolaos Tzirakis
2. Justin Holmer

In Mathematical Physics

1. Mehmet Burak Erdogan
2. Nikolaos Tzirakis
3. Justin Holmer
4. Shou‐Fu Tian
5. Dionyssios Mantzavinos
6. Carlos M. Guzm'an
7. A. S. Fokas
8. Jonatan Lenells

Citations in the corpus

• Regularity properties of the cubic nonlinear Schr\"odinger equation on the half line (2015, background): “For the general domain Ω in the defocusing case Strauss and Bu in [24] prove the existence of a global H(1) solution if the boundary data are smooth and compactly supported.”
• The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line (2005, background): “[18] considered a bounded or unbounded domain Ω ⊂ R with smooth boundary ∂Ω, and proved global existence of solutions to”