Hello guys, Please I have a question: I need to know the inverse of function "h= a + Q" defined as follows:
(*Définit la fonction indicatrice*)
indicator[x_] := Piecewise[{{1, 0 < x < \[Pi]/2}}, 0];
(*Semi groupe*)
S[x_, t_] := Sum[ Exp[- t n^2] Integrate[x Sin[s n^2], {s, 0, \[Pi]}] Sin[x n^2], {n, 5}]
(*controllability map*)
G[x_, t_] := indicator[x] S[x, T - t]
(*Grammian operator Q*)
Q[x_, t_] := (indicator[x])^2 Integrate[(S[x, T - s])^2, {s, T - l, T}]
v[x_, t_] := InverseFunction[a + Q][x, t];
(*Test*)
N[v[w1 - S[1, T], T] ]
It's not working for me because of the expression of "h=a + Q" which is complicated
Best regards,
