Deconvolutional determination of the nonlinearity in a semilinear wave equation
Hu N, Killip R, Vişan M. 2025. Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. 7(1), 1–17.
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Author
Hu, Nicholas;
Killip, Rowan;
Vişan, MonicaISTA
Abstract
We demonstrate that in three space dimensions, the scattering behaviour of semilinear wave equations with quintic-type nonlinearities uniquely determines the nonlinearity. The nonlinearity is permitted to depend on both space and time.
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Publishing Year
Date Published
2025-01-22
Journal Title
Pure and Applied Analysis
Publisher
Mathematical Sciences Publishers
Volume
7
Issue
1
Page
1-17
ISSN
eISSN
IST-REx-ID
Cite this
Hu N, Killip R, Vişan M. Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. 2025;7(1):1-17. doi:10.2140/paa.2025.7.1
Hu, N., Killip, R., & Vişan, M. (2025). Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. Mathematical Sciences Publishers. https://doi.org/10.2140/paa.2025.7.1
Hu, Nicholas, Rowan Killip, and Monica Vişan. “Deconvolutional Determination of the Nonlinearity in a Semilinear Wave Equation.” Pure and Applied Analysis. Mathematical Sciences Publishers, 2025. https://doi.org/10.2140/paa.2025.7.1.
N. Hu, R. Killip, and M. Vişan, “Deconvolutional determination of the nonlinearity in a semilinear wave equation,” Pure and Applied Analysis, vol. 7, no. 1. Mathematical Sciences Publishers, pp. 1–17, 2025.
Hu N, Killip R, Vişan M. 2025. Deconvolutional determination of the nonlinearity in a semilinear wave equation. Pure and Applied Analysis. 7(1), 1–17.
Hu, Nicholas, et al. “Deconvolutional Determination of the Nonlinearity in a Semilinear Wave Equation.” Pure and Applied Analysis, vol. 7, no. 1, Mathematical Sciences Publishers, 2025, pp. 1–17, doi:10.2140/paa.2025.7.1.
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