Is There a Vector Space Defined by Canonical Boundary Conditions?

CPL.Luke · Mar 16, 2007

how do you prove/show that there really is a vector space defined by certain boundary conditions?

unfortunately this part of pde's was glossed over in my professor's lecture notes and I don't recall him talking about it in class.

CPL.Luke · Mar 16, 2007

haha actually I think I just realized how to do it, you have to show that any two functions that any combination of funcions that meet the conditions must be a function that also meets the condition, which will be met with any set of boundary conditions where the function =0 at that point.

af(0) +bf'(0)=0+0=0is this correct?

Is There a Vector Space Defined by Canonical Boundary Conditions?

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Is There a Vector Space Defined by Canonical Boundary Conditions?

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