𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations

✍ Scribed by Alonso-Mallo, Isaias; Reguera, Nuria

Book ID
118190254
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
305 KB
Volume
40
Category
Article
ISSN
0036-1429

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Discrete Transparent Boundary Conditions
Discrete Transparent Boundary Conditions for Schrödinger-Type Equations
✍ Frank Schmidt; David Yevick 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 445 KB

We present a general technique for constructing nonlocal transparent boundary conditions for one-dimensional Schro ¨dinger-type solution of (1) only in a finite subdomain of ⍀ in order to equations. Our method supplies boundary conditions for theexamine the time evolution in the surrounding of a spe

Necessary conditions for the well-posedn
Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces
✍ Michael Dreher 📂 Article 📅 2003 🏛 Elsevier Science 🌐 French ⚖ 169 KB

We discuss evolution operators of Schrödinger type which have a non-self-adjoint lower order term and give a necessary condition for the Cauchy problem to such operators to be well-posed in Gevrey spaces. Under an additional assumption, this necessary condition is sharp.