{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:46:41Z","timestamp":1787320001963,"version":"build-2736575974"},"reference-count":41,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p>Value functions of impulse control problems are known to satisfy quasi-variational inequalities (QVIs) [A. Bensoussan and J.-L. Lions, Impulse Control and Quasivariational Inequalities, Heyden &amp; Son, Philadelphia, 1984; translation of Contr\u00f4le Impulsionnel et In\u00e9quations Quasi Variationnelles, Gauthier-Villars, Paris, 1982]. This paper proves the smooth-fit $C^1$ property of the value function for multidimensional controlled diffusions, using a viscosity solution approach. We show by examples how to exploit this regularity property to derive explicitly optimal policy and value functions.<\/jats:p>","DOI":"10.1137\/080716001","type":"journal-article","created":{"date-parts":[[2009,2,13]],"date-time":"2009-02-13T18:17:12Z","timestamp":1234549032000},"page":"594-617","source":"Crossref","is-referenced-by-count":38,"title":["Smooth Fit Principle for Impulse Control of Multidimensional Diffusion Processes"],"prefix":"10.1137","volume":"48","author":[{"given":"Xin","family":"Guo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guoliang","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2009,2,13]]},"reference":[{"key":"R1","unstructured":"A. Bensoussan and J.L. Lions,\n                      Impulse Control and Quasivariational Inequalities\n                      , Heyden & Son, Philadelphia, 1984. 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