Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on <inline-formula><math display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mi>d</mi></msup><mo>×</mo><mi mathvariant="double-struck">T</mi></mrow></semantics></math></inline-formula>

QR Code

Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on <inline-formula><math display="inline"><semantics><mrow><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mi>d</mi></msup><mo>×</mo><mi mathvariant="double-struck">T</mi></mrow></semantics></math></inline-formula>

We will show, in any space dimension <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>d</mi><mo>≥</mo><mn>3</mn></mrow></semantics></math></inlin...

Full description

Saved in:

Bibliographic Details
Main Authors:	Taim Saker, Mirko Tarulli, George Venkov
Format:	Article
Language:	English
Published:	MDPI AG 2025-06-01
Series:	Axioms
Subjects:	nonlinear Schrödinger equations Schrödinger operators scattering theory local nonlinearity damping
Online Access:	https://www.mdpi.com/2075-1680/14/6/447
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the Generalized Fractional Convection–Diffusion Equation with an Initial Condition in <inline-formula><math display="inline"><semantics><mrow><msup><mi mathvariant="double-struck">R</mi><mi mathvariant="bold-italic">n</mi></msup></mrow></semantics></math></inline-formula>
by: Chenkuan Li, et al.
Published: (2025-05-01)

The Application of <inline-formula><math display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="bold">S</mi></mrow><mrow><mi mathvariant="bold">n</mi></mrow><mrow><mn mathvariant="bold">2</mn><mo mathvariant="bold">−</mo></mrow></msubsup></mrow></semantics></math></inline-formula> in Autotrophic Denitrification Process for Advanced Nitrogen Removal in Wastewater Treatment
by: Yingxue Sun, et al.
Published: (2025-06-01)

Ar(c)tivism and Policing: Unveiling the Theatrics of Justice and Resistance in Nigeria’s S<inline-formula><math display="inline"><semantics><mrow><mover><mi mathvariant="bold">ọ</mi><mo mathvariant="bold">̀</mo></mover></mrow></semantics></math></inline-formula>r<inline-formula><math display="inline"><semantics><mrow><mover><mi mathvariant="bold">ọ</mi><mo mathvariant="bold">̀</mo></mover></mrow></semantics></math></inline-formula>-Sókè Movement
by: Friday Gabriel, et al.
Published: (2025-04-01)

Faithful Tropicalization and Skeleton of <inline-formula><math display="inline"><semantics><msub><mrow><mover><mi mathvariant="sans-serif">M</mi><mo>¯</mo></mover></mrow><mrow><mn>0</mn><mo>,</mo><mi>n</mi></mrow></msub></semantics></math></inline-formula>
by: Jiachang Xu, et al.
Published: (2025-06-01)

Insulator Partial Discharge Localization Based on Improved Wavelet Packet Threshold Denoising and <inline-formula><math display="inline"><semantics><mrow><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mrow><mi mathvariant="bold-italic">x</mi><mi mathvariant="bold-italic">x</mi></mrow></msub><mstyle mathvariant="bold"><mo>−</mo></mstyle><mi mathvariant="bold-italic">β</mi></mrow></semantics></math></inline-formula> Generalized Cross-Correlation Algorithm
by: Hongxin Ji, et al.
Published: (2025-06-01)

Assessing the Validity and Reliability of the PNO<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mrow><mi mathvariant="normal">E</mi></mrow><mo>¯</mo></mover></mrow></semantics></math></inline-formula> for Measuring Cardiometabolic Outcomes During Walking Exercise
by: Manny M. Y. Kwok, et al.
Published: (2025-05-01)

Bessel–Riesz Operator in Variable Lebesgue Spaces <i>L<sup>p</sup></i><sup>(·)</sup>(<inline-formula><math display="inline"><semantics><mrow><msub><mi mathvariant="double-struck">R</mi><mo>+</mo></msub></mrow></semantics></math></inline-formula>)
by: Muhammad Nasir, et al.
Published: (2025-05-01)

Beyond Green’s Functions: Inverse Helmholtz and “Om” <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="normal">ॐ</mi></mrow></semantics></math></inline-formula>-Potential Methods for Macroscopic Electromagnetism in Isotropy-Broken Media
by: Maxim Durach
Published: (2025-06-01)

Applying <i>λ</i>-Statistical Convergence in Fuzzy Paranormed Spaces to Supply Chain Inventory Management Under Demand Shocks (<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="bold-script">D</mi><mi mathvariant="bold-script">S</mi></mrow></semantics></math></inline-formula>)
by: Hasan Öğünmez, et al.
Published: (2025-06-01)

Module Algebra Structures of Non-Standard Quantum Group <i>X</i><sub>q</sub>(<i>A</i><sub>1</sub>) on <inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">C</mi></mrow></semantics></math></inline-formula>[<i>x</i>,<i>y</i>,<i>z</i>]
by: Dong Su
Published: (2025-07-01)

A 55 V, Six-Channel Chopper and Auto-Zeroing Amplifier with 6.2 nV/<inline-formula><math display="inline"><semantics><mrow><msqrt><mi mathvariant="bold">Hz</mi></msqrt></mrow></semantics></math></inline-formula> Noise and −128 dB Total Harmonic Distortion
by: Guolong Li, et al.
Published: (2025-06-01)

The <inline-formula><math display="inline"><semantics><mi mathvariant="fraktur">m</mi></semantics></math></inline-formula>-CCE Inverse in Minkowski Space and Its Applications
by: Xin Tan, et al.
Published: (2025-05-01)

Analysis of Operators with Complex Gaussian Kernels over <inline-formula><math display="inline"><semantics><msup><mn mathvariant="script">ℰ</mn><mo>′</mo></msup></semantics></math></inline-formula>(ℝ): Abelian Theorems
by: Hari M. Srivastava, et al.
Published: (2025-06-01)

Comparative Study of Water Flow in Nanopores with Different Quartz <inline-formula><math display="inline"><semantics><mrow><mrow><mo stretchy="false">(</mo><mn>10</mn><mover><mn>1</mn><mo>¯</mo></mover><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></semantics></math></inline-formula> Surfaces via Molecular Dynamics Simulations
by: Peng Zhou, et al.
Published: (2025-06-01)

Epitaxial Growth of Ni-Mn-Ga on Al<sub>2</sub>O<sub>3</sub>(<inline-formula><math display="inline"><semantics><mrow><mn mathvariant="bold">11</mn><mover accent="true"><mn mathvariant="bold">2</mn><mo stretchy="false">¯</mo></mover><mn mathvariant="bold">0</mn></mrow></semantics></math></inline-formula>) Single-Crystal Substrates by Pulsed Laser Deposition
by: Manuel G. Pinedo-Cuba, et al.
Published: (2025-05-01)

A Highly Birefringent and Nonlinear AsSe<inline-formula><tex-math notation="LaTeX">$_2$</tex-math></inline-formula>–As<inline-formula><tex-math notation="LaTeX">$_2$</tex-math></inline-formula>S<inline-formula><tex-math notation="LaTeX">$_5$</tex-math></inline-formula> Photonic Crystal Fiber With Two Zero-Dispersion Wavelengths
by: Tianyu Yang, et al.
Published: (2019-01-01)

Simulative Suzuki-Gerghaty Type Contraction With <inline-formula> <tex-math notation="LaTeX">$\mathscr{C}$ </tex-math></inline-formula>-Class Functions and Applications
by: Abdullah Eqal Al-Mazrooei, et al.
Published: (2019-01-01)

Magnon Chaos in <inline-formula><tex-math notation="LaTeX">$PT$</tex-math></inline-formula>-Symmetric Cavity Magnomechanics
by: Mei Wang, et al.
Published: (2019-01-01)

Ultrabroadband High Coupling Efficiency Fiber-to-Waveguide Coupler Using Si<inline-formula> <tex-math notation="LaTeX">$_{3}$</tex-math></inline-formula>N<inline-formula><tex-math notation="LaTeX">$_{4}$ </tex-math></inline-formula>/SiO<inline-formula><tex-math notation="LaTeX">$_{2}$</tex-math></inline-formula> Waveguides on Silicon
by: Tiecheng Zhu, et al.
Published: (2016-01-01)

Low-Threshold 4/5 Octave-Spanning Mid-Infrared Frequency Comb in a LiNbO<inline-formula><tex-math notation="LaTeX">$_3$</tex-math></inline-formula> Microresonator
by: Weichen Fan, et al.
Published: (2019-01-01)

Design and Analysis of a Graded-Index Strained Si<inline-formula><tex-math notation="LaTeX">$_{1-x}$ </tex-math></inline-formula>Ge<inline-formula><tex-math notation="LaTeX">$_x$</tex-math></inline-formula> Optical PN Phase Shifter
by: Darpan Mishra, et al.
Published: (2018-01-01)

Demonstration of 4 <inline-formula> <tex-math notation="LaTeX">$\times$</tex-math></inline-formula> 128-Gb/s DFT-S OFDM Signal Transmission over 320-km SMF With IM/DD
by: Yuanquan Wang, et al.
Published: (2016-01-01)

Fast and Private 1-to-<inline-formula><tex-math notation="LaTeX">$N$</tex-math></inline-formula> Face Identification Protocols
by: Nuttapong Attrapadung, et al.
Published: (2025-01-01)

A New RAM Normalized 1<inline-formula><tex-math notation="LaTeX">$f$</tex-math></inline-formula>-WMS Technique for the Measurement of Gas Parameters in Harsh Environments and a Comparison With <inline-formula><tex-math notation="LaTeX">${2f\!/\!1f}$</tex-math></inline-formula>
by: Abhishek Upadhyay, et al.
Published: (2018-01-01)

Impact of Correlation and Pointing Error on Secure Outage Performance Over Arbitrary Correlated Nakagami-<inline-formula><tex-math notation="LaTeX">$m$</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">$\mathcal {M}$</tex-math></inline-formula>-Turbulent Fading Mixed RF-FSO Channel
by: Sheikh Habibul Islam, et al.
Published: (2021-01-01)

Study on Optical Properties of Micro-Modulator Through <inline-formula> <tex-math notation="LaTeX">$Z$</tex-math></inline-formula>-Scanning Method
by: X. B. Jiao, et al.
Published: (2016-01-01)

Soliton Molecules With <inline-formula><tex-math notation="LaTeX">$\pm \pi {{/ 2, 0}}$</tex-math> </inline-formula>, and <inline-formula><tex-math notation="LaTeX">$\pi $</tex-math></inline-formula> Phase Differences in a Graphene-Based Mode-Locked Erbium-Doped Fiber Laser
by: Lili Gui, et al.
Published: (2018-01-01)

16-Channel Hybrid WDM-PDM-MDM (de) Multiplexer for Multi-Band Large-Capacity Optical Transmission System Based on Thick Si<inline-formula><tex-math notation="LaTeX">$_{3}$</tex-math></inline-formula>N<inline-formula><tex-math notation="LaTeX">$_{4}$</tex-math></inline-formula> Platform
by: Deyue Ma, et al.
Published: (2024-01-01)

Polarization Coupling of <inline-formula><tex-math notation="LaTeX">$X$</tex-math></inline-formula>-Cut Thin Film Lithium Niobate Based Waveguides
by: Jingyi Wang, et al.
Published: (2020-01-01)

High-<inline-formula><tex-math notation="LaTeX">$Q$</tex-math></inline-formula> Bound State in the Continuum Cavity Enabled by High-Order Topological Charge
by: Zhao Zheng, et al.
Published: (2024-01-01)

Application of <inline-formula><tex-math notation="LaTeX">$L_{1}-L_{2}$</tex-math></inline-formula> Regularization in Sparse-View Photoacoustic Imaging Reconstruction
by: Mengyu Wang, et al.
Published: (2024-01-01)

Polarization-Insensitive Silicon Nitride Photonic Receiver at 1 <inline-formula><tex-math notation="LaTeX">$\mu$</tex-math></inline-formula>m for Optical Interconnects
by: Alexander Caut, et al.
Published: (2024-01-01)

Interference Fading Mitigation in Coherent <inline-formula><tex-math notation="LaTeX">$\Phi$</tex-math></inline-formula>-OTDR Based on Subband Phase-Shift Transform
by: Yafeng Cheng, et al.
Published: (2023-01-01)

Fixed Point Theorems for <inline-formula> <tex-math notation="LaTeX">${\mathscr{Z}}_{\vartheta}$ </tex-math></inline-formula>-Contraction and Applications to Nonlinear Integral Equations
by: Xiangling Li, et al.
Published: (2019-01-01)

M <inline-formula> <tex-math notation="LaTeX">$\times$</tex-math></inline-formula> N Wavelength Selective Switches Using Beam Splitting By Space Light Modulators
by: K. Yamaguchi, et al.
Published: (2016-01-01)

Polarization-Rotator-Free Polarization-Diversity 4 <inline-formula> <tex-math notation="LaTeX">$\times$</tex-math></inline-formula> 4 Si-Wire Optical Switch
by: K. Suzuki, et al.
Published: (2016-01-01)

Optics Temperature-Dependent Nonuniformity Correction Via <inline-formula><tex-math notation="LaTeX"> $\ell _{0}$</tex-math></inline-formula>-Regularized Prior for Airborne Infrared Imaging Systems
by: Li Liu, et al.
Published: (2016-01-01)

Phase Sensitive Parametric Interactions in a <inline-formula><tex-math notation="LaTeX"> $Ga_{0.5}In_{0.5}P$</tex-math></inline-formula> Photonic Crystal Waveguide
by: Amnon Willinger, et al.
Published: (2016-01-01)

Cascade-Gain-Switching for Generating 3.5-<inline-formula><tex-math notation="LaTeX">$\mu$</tex-math> </inline-formula>m Nanosecond Pulses From Monolithic Fiber Lasers
by: Jianlong Yang, et al.
Published: (2018-01-01)

A Single Layer Neural Network Implemented by a <inline-formula><tex-math notation="LaTeX">$4\times 4$</tex-math></inline-formula> MZI-Based Optical Processor
by: Farhad Shokraneh, et al.
Published: (2019-01-01)