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Linear Schrödinger evolution equations with moving Coulomb singularities

✍ Scribed by Okazawa, Noboru; Yoshii, Kentarou


Book ID
122667991
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
461 KB
Volume
254
Category
Article
ISSN
0022-0396

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## Abstract We study a class of time‐independent non‐linear Schrödinger‐type equations on the whole space with a repulsive singular potential in the divergence operator and we establish the existence of non‐trivial standing wave solutions for this problem in an appropriate weighted Sobolev space. S