Ginibre, J.; Velo, G. Sur une équation de Schrödinger non linéaire avec interaction non locale. (French) Zbl 0497.35024 Nonlinear partial differential equations and their applications, Coll. de France Semin., Vol. II, Res. Notes Math. 60, 155-199 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 9 Documents MSC: 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35B40 Asymptotic behavior of solutions to PDEs Keywords:non-local interaction; survey; global existence; Cauchy problem; comparison; conservation laws Citations:Zbl 0476.00014; Zbl 0407.35063 PDFBibTeX XML