Nonexistence of solutions to quasilinear Schrödinger equations with a parameter-Reference-Cited by-同舟云学术

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Nonexistence of solutions to quasilinear Schrödinger equations with a parameter

Published:2024-09-02 Issue: Volume: Page:
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Yu Hongwang¹,Wei Yunfeng¹^ORCID,Chen Caisheng²,Chen Qiang³

Affiliation:

1. School of Mathematics Nanjing Audit University Nanjing China

2. College of Science Hohai University Nanjing China

3. School of Mathematics and Physics Yancheng Institute of Technology Yancheng China

Abstract

This paper is concerned with the class of quasilinear Schrödinger equations: which models the self‐channeling of a high‐power ultra short laser in matter provided , where is a parameter, and . Under some appropriate assumptions on , we establish the nonexistence of solutions for the above problem.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10452

Reference45 articles.

1. Large-Amplitude Quasi-Solitons in Superfluid Films

2. Evolution theorem for a class of perturbed envelope soliton solutions

3. Relativistic and ponderomotive self‐focusing of a laser beam in a radially inhomogeneous plasma. I. Paraxial approximation

4. Relativistic self-focusing and channel formation in laser-plasma interactions

5. Global existence of small solutions to a relativistic nonlinear Schrödinger equation;Bounard A.;Comm. Math. Phys.,1997

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