Timeline for What restrictions on the form of an integral equation have a unique solution f=0?
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| Sep 11, 2018 at 2:09 | comment | added | Ning Bao | Is there perhaps some interesting subclasses of small detailed cases where this is true? Again, what (nontrivial) restrictions on $K$ could one put on equations of this form to get a unique solution? | |
| Sep 11, 2018 at 0:56 | comment | added | Christian Remling | If you write $Tf=\int Kf\, dx$, then you want $1+T$ to have trivial kernel, so $-1$ must not be an eigenvalue of $T$, and whether or not this holds will depend on small details, so there's not a whole lot you can say in this generality. | |
| Sep 10, 2018 at 22:58 | history | edited | Konstantinos Kanakoglou |
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| Sep 10, 2018 at 22:49 | history | edited | Ning Bao | CC BY-SA 4.0 |
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| Sep 10, 2018 at 22:46 | history | edited | LSpice | CC BY-SA 4.0 |
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| Sep 10, 2018 at 22:35 | history | asked | Ning Bao | CC BY-SA 4.0 |