grandes-ecoles 2015 QI.C.2

grandes-ecoles · France · centrale-maths2__psi Groups Decomposition and Basis Construction

Determine a harmonic polynomial $H$ that satisfies $H(x,y) = f(x,y)$ for all $(x,y) \in C(0,1)$, where $f(x,y) = x^4 - y^4$.

Determine a harmonic polynomial $H$ that satisfies $H(x,y) = f(x,y)$ for all $(x,y) \in C(0,1)$, where $f(x,y) = x^4 - y^4$.