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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 1-3: In Memory of Carlo Pucci. Guest Editors: Rolando Magnanini and Giorgio Talenti
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Original Articles

On complex-valued solutions to a 2D Eikonal equation. Part three: analysis of a Bäcklund transformation

Rolando Magnanini Università di Firenze, Dipartimento di Matematica U. Dini, viale Morgagni 67/A, 50134 Firenze, ItalyCorrespondence[email protected]
&
Giorgio Talenti Università di Firenze, Dipartimento di Matematica U. Dini, viale Morgagni 67/A, 50134 Firenze, Italy; Consiglio Nazionale delle Ricerche, Istituto per le Applicazioni, del Calcolo – Sezione di Firenze, via Madonna del Piano, 50019 Sesto Fiorentino (FI), Italy
Pages 249-276 | Received 26 Jul 2004, Accepted 11 Oct 2004, Published online: 25 Jan 2007

Citations (11)

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Rolando Magnanini. (2022) Explicit complex-valued solutions of the 2D eikonal equation. Applicable Analysis 101:11, pages 3934-3946.
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Articles from other publishers (10)

Xingguo Huang, Hui Sun, Zhangqing SunNuno Vieira da Silva. (2020) A complex point-source solution of the acoustic eikonal equation for Gaussian beams in transversely isotropic media. GEOPHYSICS 85:3, pages T191-T207.
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Xingguo Huang, Jianguo Sun & Stewart Greenhalgh. (2018) On the solution of the complex eikonal equation in acoustic VTI media: a perturbation plus optimization scheme. Geophysical Journal International 214:2, pages 907-932.
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Xingguo Huang & Hui Sun. (2018) Numerical modeling of Gaussian beam propagation and diffraction in inhomogeneous media based on the complex eikonal equation. Acta Geophysica 66:4, pages 497-508.
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Xingguo Huang & Stewart Greenhalgh. (2018) Linearized formulations and approximate solutions for the complex eikonal equation in orthorhombic media and applications of complex seismic traveltime. GEOPHYSICS 83:3, pages C115-C136.
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Xingguo Huang, Jianguo Sun & Zhangqing Sun. (2016) Local algorithm for computing complex travel time based on the complex eikonal equation. Physical Review E 93:4.
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Thomas H. OtwayThomas H. Otway. 2015. Elliptic–Hyperbolic Partial Differential Equations. Elliptic–Hyperbolic Partial Differential Equations 9 30 .
Giulio Ciraolo. (2013) A weak comparison principle for solutions of very degenerate elliptic equations. Annali di Matematica Pura ed Applicata (1923 -) 193:5, pages 1485-1490.
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Giulio Ciraolo. 2013. Geometric Properties for Parabolic and Elliptic PDE's. Geometric Properties for Parabolic and Elliptic PDE's 67 83 .
Simone Cecchini & Rolando Magnanini. (2009) Critical points of solutions of degenerate elliptic equations in the plane. Calculus of Variations and Partial Differential Equations 39:1-2, pages 121-138.
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Rolando Magnanini & Giorgio Talenti. (2009) On Complex-valued 2D Eikonals. Part Four: Continuation Past a Caustic. Milan Journal of Mathematics 77:1, pages 1-66.
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