Could you tell me some useful Hilbert space of vector-valued functions in ODEs and PDEs modeling?

Nhan Nguyen @Nhan_Nguyen65

05 May 2018 0 6K Report

For example we have

f: Rd -> Rn

f(x=[x1,x2,...,xd])=[f1(x),f2(x),...,fn(x)]

Can we define a inner product for the space V={f: Rd -> Rn | f1,f2,..,fn belong to C1(Rd)}?

Thank you.

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