We consider the function $f(x,y)=x^2+y^2$ in $\omega = (0,1)^2.$ I am wondering about the existence of a $C^2-$extension $F$ of $f$ in $\Omega = (0,2)^2$ such that $F$ is harmonic in $\Omega-\overline{\omega}$. Thanks
a special extension of a two variable function
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complex-analysis
differential-geometry
harmonic-functions
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2your $f$ is not harmonic – 2012-08-20
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0sorry, it is not harmonic – 2012-08-20