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Construction of Lipschitz solutions to an Eikonal type equation on annulus

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Publication:289507
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DOI10.1016/J.JMAA.2016.03.057zbMath1342.35364OpenAlexW2312062893MaRDI QIDQ289507

Baisheng Yan, Hongli Gao

Publication date: 30 May 2016

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.057


zbMATH Keywords

boundary value problemcharacteristics methodEikonal type equationLipschitz solutionsmicromagnetic energy


Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with optics and electromagnetic theory (35Q60) Duality theory (optimization) (49N15) Statistical mechanics of magnetic materials (82D40)





Cites Work

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  • Minimizing \(L^{\infty }\)-norm functional on divergence-free fields
  • Characterization of energy minimizers in micromagnetics
  • Implicit partial differential equations
  • Energy minimizers for large ferromagnetic bodies
  • A Duality Method for Micromagnetics
  • Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism




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