A Formal Derivation of the Aronsson Equations for Symmetrized Gradients | Zendy

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A Formal Derivation of the Aronsson Equations for Symmetrized Gradients

Author(s) -

Mark Spanier

Publication year - 2010

Publication title -

siam undergraduate research online

Language(s) - English

Resource type - Journals

ISSN - 2327-7807

DOI - 10.1137/10s010582

Subject(s) - mathematics , infinity , mathematical analysis , euler equations , limiting , partial differential equation , integral equation , dirichlet distribution , computation , laplace's equation , laplace transform , boundary value problem , mechanical engineering , algorithm , engineering

The Euler-Lagrange equations associated to the problem of minimizing a power-law functional acting on symmetrized gradients are identified. A formal derivation of the limiting system of partial differential equations stemming from these equations as p tends to infinity is provided. Our computations are reminiscent of the derivation of the infinity Laplace equation starting from the p-Dirichlet integral.

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