A solution to a model of optimal consumption with partial observation considered in [LOS] is presented. The approach is based on the Jensen inequality and does not require application of the filtering equation.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am31-4-3, author = {Grzegorz Ha\l aj}, title = {Optimization of consumption with partial observation-Jensen inequality method}, journal = {Applicationes Mathematicae}, volume = {31}, year = {2004}, pages = {417-422}, zbl = {1055.91025}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-4-3} }
Grzegorz Hałaj. Optimization of consumption with partial observation-Jensen inequality method. Applicationes Mathematicae, Tome 31 (2004) pp. 417-422. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am31-4-3/