On uniqueness results for solutions of the Benjamin equation

DOI10.1016/j.jmaa.2023.127256zbMath1530.35211arXiv2105.07772OpenAlexW4360603855MaRDI QIDQ6110803

Alysson Cunha

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07772

zbMATH Keywords

Sobolev spaceHilbert transformlocal well-posednessBenjamin equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• On the Persistent Properties of Solutions to Semi-Linear Schrödinger Equation
• The characterization of functions arising as potentials
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