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On quasi-linear Schrödinger–Poisson systems

✍ Scribed by R. Illner; H. Lange; B. Toomire; Paul Zweifel

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
141 KB
Volume
20
Category
Article
ISSN
0170-4214

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✦ Synopsis

We study a high-field version of the periodic Schro¨dinger-Poisson system, for which the Poisson equation includes nonlinear terms corresponding to a field-dependent dielectric constant. Using a Galerkin scheme, we prove global existence and uniqueness, and present the matrix equations for the numerical evaluation of the potential.

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