Geodesic
Continuous regularization of linear operator equations in a~Hilbert space
Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 503-509.

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For the linear operator equation $Au=f$ we offer a continuous regularization based on the stabilization of solutions of differential equations in a Hilbert space $H$. We assume that $A$ is a positive operator and that the equation $Au=f$ has a solution in $H$. 
@article{MZM_1968_4_5_a1,
     author = {Ya. I. Al'ber},
     title = {Continuous regularization of linear operator equations in {a~Hilbert} space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {503--509},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a1/}
}
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Ya. I. Al'ber. Continuous regularization of linear operator equations in a~Hilbert space. Matematičeskie zametki, Tome 4 (1968) no. 5, pp. 503-509. http://geodesic.mathdoc.fr/item/MZM_1968_4_5_a1/