Yesterday I chanced upon a rather obscure name for it: the "Corey–Kwiatkowski condensation".
The reaction between lithium phosphonamide or phosphonate and ester to give β-keto phosphonamide or phosphonate is called the Corey–Kwiatkowski
condensation.
Wang, Z. Corey-Kwiatkowski Reaction. Comprehensive Organic Name Reactions and Reagents [Online]; Wiley: 2010, 160, 730–733. DOI: 10.1002/9780470638859.conrr160.
This cites Ciufolini's synthesis of (+)-camptothecin:
Radical bromination and methanolysis advanced 13 to 14, which delivered phosphonate 4 upon Corey–Kwiatkowski reaction.
Ciufolini, M. A.; Roschangar, F. Total Synthesis of (+)-Camptothecin. Angew. Chem. Int. Ed. 1996, 35 (15), 1692–1694. DOI: 10.1002/anie.199616921.
In turn Ciufolini cites a 1966 paper by Corey and Kwiatkowski. Oddly enough, that paper makes no mention of any such reaction, except in footnote 6. This was already mentioned in jerepierre's answer, but it is reproduced here:
Anions derived from 1 (X = H or alkyl) are of value in the synthesis of keto phosphonates 1 (X = RCO) by reaction with esters. The preparation of these intermediates, which are of value in olefin synthesis [see H. Takahashi, K. Fujiwara, and M. Ohta, Bull. Chem. Soc. Japan, 35, 1498 (1962)], is usually impractical by the Michaelis-Arbusov reaction.
Corey, E. J.; Kwiatkowski, G. T. The Synthesis of Olefins from O,O'-Dialkyl β-Lithioalkylphosphonothioate Esters. J. Am. Chem. Soc. 1966, 88 (23), 5654–5656. DOI: 10.1021/ja00975a057.
Anyway, I wouldn't really recommend using this name, as (1) it is not well-known (2) there is potential for confusion.
The name "Corey–Kwiatkowski _____" is also sometimes used to describe the reaction of a lithium phosphonamide with an aldehyde to give an olefin directly (this is what Corey's 1966 paper was actually talking about). In the very first book cited, Comprehensive Organic Name Reactions and Reagents by Wang, the "Corey–Kwiatkowski reaction" refers to precisely that. Also, in Kürti and Czakó's section on HWE olefination,
The Corey–Kwiatkowski modification uses phosphoric acid bisamides to prepare (Z)-alkenes stereoselectively, $\ce{(Me2N)2P(O)CH2R}$, where R = aryl.
Kürti, L.; Czakó, B. Strategic Applications of Named Reactions in Organic Synthesis; Elsevier: Amsterdam, 2005; pp 212–213.
In turn they cite two papers by Corey and Kwiatkowski, different from the one already quoted above:
- Corey, E. J.; Kwiatkowski, G. T. The Synthesis of Olefins from Carbonyl Compounds and Phosphonic Acid Bisamides. J. Am. Chem. Soc. 1966, 88 (23), 5652–5653. DOI: 10.1021/ja00975a055.
- Corey, E. J.; Kwiatkowski, G. T. Synthesis of olefins from carbonyl compounds and phosphonic acid bis amides. J. Am. Chem. Soc. 1968, 90 (24), 6816–6821. DOI: 10.1021/ja01026a045.