When deriving the Euler & ndash; Lagrange equation, the common approach is to assume \ Omega has a C ^ 2 boundary and let the domain of definition for J be C ^ 2 ( \ Omega, \ mathbb { R } ^ m ).
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In mathematics, applying the "'Schwarz reflection principle "'is a way to extend the domain of definition of an analytic function of a complex variable, " F ", which is defined on the upper half-plane and has well-defined and real number boundary values on the real axis.
