Nonexistence of Global Weak Solutions for a Nonlinear Schrödinger Equation in an Exterior Domain

Nonexistence of Global Weak Solutions for a Nonlinear Schrödinger Equation in an Exterior Domain

We study the large-time behavior of solutions to the nonlinear exterior problem <inline-formula> <math display="inline"> <semantics> <mrow> <mi mathvariant="script">L</mi> <mi>u</mi> <mrow> <mo stretchy="false">...

Full description

Bibliographic Details
Main Authors:	Awatif Alqahtani, Mohamed Jleli, Bessem Samet, Calogero Vetro
Format:	Article
Language:	English
Published:	MDPI AG 2020-03-01
Series:	Symmetry
Subjects:	nonlinear schrödinger equation exterior domain nonhomegeneous neumann boundary condition global weak solution
Online Access:	https://www.mdpi.com/2073-8994/12/3/394

Similar Items

Nonexistence results for hyperbolic type inequalities involving the Grushin operator in exterior domains
by: Mohamed Jleli, et al.
Published: (2021-09-01)

Nonexistence of global solutions for fractional temporal Schrodinger equations and systems
by: Ibtehal Azman, et al.
Published: (2017-11-01)

On the critical behavior for inhomogeneous wave inequalities with Hardy potential in an exterior domain
by: Jleli Mohamed, et al.
Published: (2021-05-01)

A Perturbed Cauchy Viscoelastic Problem in an Exterior Domain
by: Bessem Samet, et al.
Published: (2023-05-01)

On a Fractional in Time Nonlinear Schrödinger Equation with Dispersion Parameter and Absorption Coefficient
by: Mohamed Jleli, et al.
Published: (2020-07-01)

Schrödinger-type identity to the existence and uniqueness of a solution to the stationary Schrödinger equation
by: Delin Sun
Published: (2019-03-01)

Existence and nonexistence of radial solutions for semilinear equations with bounded nonlinearities on exterior domains
by: Joseph Iaia
Published: (2020-12-01)

Existence and nonexistence of solutions for sublinear equations on exterior domains
by: Joseph A. Iaia
Published: (2017-09-01)

A general blow-up result for a degenerate hyperbolic inequality in an exterior domain
by: Mohamed Jleli, et al.
Published: (2023-12-01)

Nonexistence Results for Higher Order Fractional Differential Inequalities with Nonlinearities Involving Caputo Fractional Derivative
by: Mohamed Jleli, et al.
Published: (2021-08-01)

Existence and nonexistence for singular sublinear problems on exterior domains
by: Mageed Ali, et al.
Published: (2021-01-01)

Existence results for the general Schrödinger equations with a superlinear Neumann boundary value problem
by: Zhen Liu
Published: (2019-03-01)

Existence and nonexistence of solutions for sublinear problems with prescribed number of zeros on exterior domains
by: Janak Joshi
Published: (2017-05-01)

Critical Neumann problem for nonlinear elliptic systems in exterior domains
by: Jianfu Yang, et al.
Published: (2008-11-01)

Nonexistence of non-trivial global weak solutions for higher-order nonlinear Schrodinger equations
by: Abderrazak Nabti
Published: (2015-12-01)

Blow-Up Results for Higher-Order Evolution Differential Inequalities in Exterior Domains
by: Jleli Mohamed, et al.
Published: (2019-05-01)

Large Time Behavior for Inhomogeneous Damped Wave Equations with Nonlinear Memory
by: Mohamed Jleli, et al.
Published: (2020-09-01)

A Time-Fractional Schrödinger Equation with Singular Potentials on the Boundary
by: Ibtehal Alazman, et al.
Published: (2023-05-01)

An Exterior Neumann Boundary-Value Problem for the Div-Curl System and Applications
by: Briceyda B. Delgado, et al.
Published: (2021-07-01)

On the Regularity of Weak Solutions to Time-Periodic Navier–Stokes Equations in Exterior Domains
by: Thomas Eiter
Published: (2022-12-01)

On the critical behavior for time-fractional pseudo-parabolic-type equations with combined nonlinearities
by: Areej Bin Sultan, et al.
Published: (2022-04-01)

Nonlinear conservation laws for the Schrödinger boundary value problems of second order
by: Ming Ren, et al.
Published: (2020-01-01)

Nonexistence of stable solutions for quasilinear Schrödinger equation
by: Lijuan Chen, et al.
Published: (2018-11-01)

Schrödinger’s Cat Meets Occam’s Razor
by: Richard D. Gill
Published: (2022-11-01)

Nonexistence of Global Solutions to Time-Fractional Damped Wave Inequalities in Bounded Domains with a Singular Potential on the Boundary
by: Areej Bin Sultan, et al.
Published: (2021-12-01)

Nonexistence of Global Solutions to Higher-Order Time-Fractional Evolution Inequalities with Subcritical Degeneracy
by: Ravi P. Agarwal, et al.
Published: (2021-10-01)

Lineer Olmayan İkili Schrödinger Denklemi için Ağsız Bir Yöntem
by: Bahar KARAMAN, et al.
Published: (2019-11-01)

Normalized solutions to the Schrödinger systems with double critical growth and weakly attractive potentials
by: Lei Long, et al.
Published: (2023-08-01)

Infinitely many solutions for a semilinear problem on exterior domains with nonlinear boundary condition
by: Janak Joshi, et al.
Published: (2018-05-01)

A high-order nonlinear Schrödinger equation with the weak non-local nonlinearity and its optical solitons
by: K. Hosseini, et al.
Published: (2021-04-01)

On the Solvability of a Quasilinear Parabolic Problem with Neumann Boundary Condition
by: Editha C. Jose, et al.
Published: (2016-12-01)

Quasilinear differential equations in exterior domains with nonlinear boundary conditions and application
by: Nicolae Tarfulea, et al.
Published: (2009-10-01)

Existence and quantum calculus of weak solutions for a class of two-dimensional Schrödinger equations in C+ $\mathbb{C}_{+}$
by: Yifan Xing, et al.
Published: (2018-04-01)

Nonexistence of global solutions for differential inequalities of Sobolev type
by: Mohamed Jleli, et al.
Published: (2014-10-01)

Existence of solutions to nonlinear fractional Schrodinger equations with singular potentials
by: Qingxuan Wang, et al.
Published: (2016-08-01)

Existence for semilinear equations on exterior domains
by: Joseph Iaia
Published: (2016-11-01)

Small data blow-up of solutions to nonlinear Schrodinger equations without gauge invariance in L^2
by: Yuanyuan Ren, et al.
Published: (2021-03-01)

Blow-up of the solution of a nonlinear Schrödinger equation system with periodic boundary conditions
by: Feliksas Ivanauskas, et al.
Published: (2013-01-01)

Existence of solutions for semilinear problems on exterior domains
by: Joseph Iaia
Published: (2020-04-01)

Existence of solutions for sublinear equations on exterior domains
by: Joseph A. Iaia
Published: (2017-10-01)