{"id":6,"date":"2017-10-17T20:18:27","date_gmt":"2017-10-18T03:18:27","guid":{"rendered":"https:\/\/blogs.ubc.ca\/shboroushaki\/?page_id=6"},"modified":"2018-09-02T15:06:21","modified_gmt":"2018-09-02T22:06:21","slug":"research","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/shboroushaki\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p>My research focus is on self-dual variational principles for partial differential equations, in particular; stochastic PDE. I am also interested in optimal mass transport; in particular, its applications in the\u00a0analysis of functional inequalities.<\/p>\n<h3>Publications<\/h3>\n<p>1. <a href=\"http:\/\/afst.cedram.org\/cedram-bin\/article\/AFST_2017_6_26_2_217_0.pdf\" target=\"_blank\" rel=\"noopener\">A dual Moser\u2013Onofri inequality and its extensions to higher dimensional spheres<\/a>, with N. Ghoussob and M. Agueh, \u00a0Annales de la Facult\u00e9 des Sciences de Toulouse, S\u00e9r. 6, 26 no. 2 (2017) p. 217-233<\/p>\n<p>2. <a href=\"http:\/\/www.birs.ca\/%7enassif\/papers_download\/additive_noise_20_10-03-17\/additive_noise_20_10-03-17.pdf\" target=\"_blank\" rel=\"noopener\">A Self-dual Variational Approach to Stochastic Partial Differential Equations<\/a>, with N. Ghoussoub, Journal of Functional Analysis, In press (Submitted, October 2017) \u00a034 pp.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>My research focus is on self-dual variational principles for partial differential equations, in particular; stochastic PDE. I am also interested in optimal mass transport; in particular, its applications in the\u00a0analysis of functional inequalities. Publications 1. A dual Moser\u2013Onofri inequality and its extensions to higher dimensional spheres, with N. Ghoussob and M. Agueh, \u00a0Annales de la &hellip; <a href=\"https:\/\/blogs.ubc.ca\/shboroushaki\/research\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Research<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":42486,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/users\/42486"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":7,"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":171,"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/pages\/6\/revisions\/171"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/shboroushaki\/wp-json\/wp\/v2\/media?parent=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}