Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity

DOI10.1016/J.JDE.2021.11.010zbMath1478.35188arXiv2111.10136OpenAlexW3213520521MaRDI QIDQ2054015

Pascal Bégout, Jesús Ildefonso Díaz

Publication date: 30 November 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10136

zbMATH Keywords

maximal monotone operatorsasymptotic behaviorfinite time extinctiondamped Schrödinger equationexistence and regularity of weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (1)

Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity

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