We analyze regularity estimates for solutions to nonlocal space-time equations driven by fractional powers of parabolic operators in divergence form. These equations are fundamental in semipermeable membrane problems, biological invasion models and they also appear as generalized Master equations. We develop a parabolic method of semigroups that allows us to prove a local extension problem characterization for these nonlocal problems. <\/p>\n\n\n\n
In this talk, we will discuss how we obtained Harnack inequalities and Schauder estimates for the solutions using the extension method.<\/p>\n\n\n\n
Join Zoom Meeting<\/a> <\/p>","protected":false},"excerpt":{"rendered":" We analyze regularity estimates for solutions to nonlocal space-time equations driven by fractional powers of parabolic operators in divergence form. These equations are fundamental in semipermeable membrane problems, biological invasion models and they also appear as generalized Master equations. We develop a parabolic method of semigroups that allows us to prove a local extension problem<\/p>","protected":false},"author":13,"featured_media":5891,"parent":0,"template":"","meta":{"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":""},"tags":[],"event_types":[26],"event_times":[],"acf":[],"featured_img":"https:\/\/aims-cameroon.org\/wp-content\/uploads\/sites\/6\/2021\/10\/coll-scaled.jpg","coauthors":[],"author_meta":{"author_link":"https:\/\/aims-cameroon.org\/fr\/author\/george\/","display_name":"george"},"relative_dates":{"created":"Publi\u00e9 5 ans il y a","modified":"Mis \u00e0 jour 5 ans il y a"},"absolute_dates":{"created":"Publi\u00e9 le octobre 11, 2021","modified":"Mise \u00e0 jour le octobre 11, 2021"},"absolute_dates_time":{"created":"Publi\u00e9 le octobre 11, 2021 5:34 ","modified":"Mise \u00e0 jour le octobre 11, 2021 5:34 "},"featured_img_caption":"","tax_additional":{"post_tag":{"linked":[],"unlinked":[],"slug":"post_tag","name":"\u00c9tiquettes"},"event_types":{"linked":["Workshop<\/a>"],"unlinked":["Workshop<\/span>"],"slug":"event_types","name":"Event Type"},"event_times":{"linked":[],"unlinked":[],"slug":"event_times","name":"Event Time"}},"series_order":"","_links":{"self":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5890"}],"collection":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event"}],"about":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/types\/event"}],"author":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/users\/13"}],"version-history":[{"count":2,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5890\/revisions"}],"predecessor-version":[{"id":5893,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event\/5890\/revisions\/5893"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media\/5891"}],"wp:attachment":[{"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/media?parent=5890"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/tags?post=5890"},{"taxonomy":"event_types","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_types?post=5890"},{"taxonomy":"event_times","embeddable":true,"href":"https:\/\/aims-cameroon.org\/fr\/wp-json\/wp\/v2\/event_times?post=5890"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}