Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity
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Publication:2090743
zbMath1501.35363arXiv2210.04493MaRDI QIDQ2090743
Pascal Bégout, Jesús Ildefonso Díaz
Publication date: 31 October 2022
Published in: Advances in Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.04493
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
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- Compact sets in the space \(L^ p(0,T;B)\)
- Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity
- Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains
- Existence of weak solutions to some stationary Schrödinger equations with singular nonlinearity
- Dynamics of partial differential equations
- Localizing estimates of the support of solutions of some nonlinear Schrödinger equations -- the stationary case
- On continuity of functions with values in various Banach spaces
- Criterion for the \(L^p\)-dissipativity of second order differential operators with complex coefficients
- Finite Time Extinction by Nonlinear Damping for the Schrödinger Equation
- Analyticity of Submarkovian Semigroups
- Finite time extinction for a damped nonlinear Schr{\"o}dinger equation in the whole space
- Finite Time Extinction for Nonlinear Schrödinger Equation in 1D and 2D
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Differential Equations