Derivation of the Aronsson equation for $C^1$ Hamiltonians
نویسندگان
چکیده
منابع مشابه
Derivation of the Aronsson Equation for C Hamiltonians
It is proved herein that any absolute minimizer u for a suitable Hamiltonian H ∈ C(R × R× U) is a viscosity solution of the Aronsson equation: Hp(Du, u, x) · (H(Du, u, x))x = 0 in U. The primary advance is to weaken the assumption that H ∈ C, used by previous authors, to the natural condition that H ∈ C.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-08-04651-5