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

DOI10.1080/00036810500277041zbMath1131.35033OpenAlexW1996075739WikidataQ58262516 ScholiaQ58262516MaRDI QIDQ5201462

Rolando Magnanini, Giorgio Talenti

Publication date: 19 April 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500277041

zbMATH Keywords

minimizersboundary value problemscritical pointsBäcklund transformationspartial differential equationsviscosity solutionsfree boundariesconvex functionals

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Degenerate elliptic equations (35J70) Regularity of solutions in optimal control (49N60) Geometric optics (78A05)

Related Items (6)

Explicit complex-valued solutions of the 2D eikonal equation ⋮ On complex-valued 2D eikonals. IV: continuation past a caustic ⋮ Thoughts on the Busemann equation ⋮ A weak comparison principle for solutions of very degenerate elliptic equations ⋮ Critical points of solutions of degenerate elliptic equations in the plane ⋮ A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals

Cites Work

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