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October 1, 2025Proceedings of the American Mathematical Society

Threshold for the existence of scattering states for nonlinear Schrödinger equations without gauge invariance

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Authors

HMHayato MiyazakiMSMotohiro Sobajima

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Overview

Findings reveal no scattering states exist in weighted Sobolev space, indicating the Strauss exponent's role.

Key Points

  • No scattering states exist for nonlinear Schrödinger equations under given conditions, emphasizing critical thresholds.
  • The study identifies the Strauss exponent as a key threshold influencing the existence of scattering states.
  • Initial data incorporating compactly supported smooth functions can be utilized within the framework discussed.
  • Insights extend understanding of scattering phenomena in relation to weighted Sobolev spaces and nonlinearity characteristics.

Cite This Study

Miyazaki et al. (2025) studied this question.

synapsesocial.com/papers/68dd91cffe798ba2fc498a8dhttps://doi.org/10.1090/proc/17398
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