grandes-ecoles 2015 QI.C.1

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 $f(x,y) = xy$. 
Determine a harmonic polynomial $H$ that satisfies $H(x,y) = f(x,y)$ for all $(x,y) \in C(0,1)$, where $f(x,y) = xy$.
Paper Questions
QI.A.1 QI.A.2 QI.B.1 QI.B.2 QI.B.3 QI.C.1 QI.C.2 QII.A QII.B.1 QII.B.2 QII.B.3 QII.C.1 QII.C.2 QII.D.1 QII.D.2 QII.D.3 QII.D.4 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C QIV.A.1 QIV.A.2 QIV.A.3 QIV.A.4 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2