Localizing estimates of the support of solutions of some nonlinear Schrödinger equations -- the stationary case

DOI10.1016/j.anihpc.2011.09.001zbMath1241.35185arXiv1012.1729OpenAlexW3106324305MaRDI QIDQ2428175

Pascal Bégout, Jesús Ildefonso Díaz

Publication date: 24 April 2012

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1729

zbMATH Keywords

energy methodcompact supportspatial localizationsingular nonlinear terms

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs with measure (35R06)

Related Items (11)

Unnamed Item ⋮ Multiple solutions with compact support for a quasilinear Schrödinger equation with sign-changing potentials ⋮ Qualitative properties and support compactness of solutions for quasilinear Schrödinger equation with sign changing potentials ⋮ On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via singular potentials: the multi-dimensional case ⋮ A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity ⋮ Finite time extinction for a damped nonlinear Schr{\"o}dinger equation in the whole space ⋮ Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains ⋮ Unnamed Item ⋮ Bound state solutions of sublinear Schrödinger equations with lack of compactness ⋮ Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity ⋮ Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity

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