{"id":44962,"date":"2023-06-21T13:46:13","date_gmt":"2023-06-21T09:46:13","guid":{"rendered":"https:\/\/www.imm.az\/exp\/?p=44962"},"modified":"2023-06-21T13:46:15","modified_gmt":"2023-06-21T09:46:15","slug":"head-of-the-department-nonharmonic-analysis-corresponding-member-of-anas-doctor-of-physical-and-mathematical-sciences-prof-bilal-telman-oglu-bilalov-made-a-presentation-on-the-topic","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2023\/06\/21\/head-of-the-department-nonharmonic-analysis-corresponding-member-of-anas-doctor-of-physical-and-mathematical-sciences-prof-bilal-telman-oglu-bilalov-made-a-presentation-on-the-topic\/","title":{"rendered":"Head of the Department &#8220;Nonharmonic Analysis&#8221;, Corresponding Member of ANAS, doctor of physical and mathematical sciences, prof. Bilal Telman oglu\u00a0Bilalov\u00a0made a presentation on the topic\u00a0\u201cFredholm \u00a0property of the Dirichl problem for an elliptic equation of the 2nd order in Grand Sobolev spaces\u201d"},"content":{"rendered":"<p>Today, the general Institute seminar was held at the Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan. \u00a0At the seminar head of the Department &#8220;Nonharmonic Analysis&#8221;, Corresponding Member of ANAS, doctor of physical and mathematical sciences, prof. Bilal Telman oglu \u00a0Bilalov \u00a0made \u00a0a \u00a0presentation on the topic \u00a0\u201c Fredholm \u00a0property of the Dirichl problem for an elliptic equation of the 2nd order in Grand Sobolev spaces\u201d.<\/p>\n<p><a href=\"https:\/\/www.imm.az\/exp\/2023\/06\/21\/head-of-the-department-nonharmonic-analysis-corresponding-member-of-anas-doctor-of-physical-and-mathematical-sciences-prof-bilal-telman-oglu-bilalov-made-a-presentation-on-the-topic\/20230621_101225-2\/\" rel=\"attachment wp-att-44966\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-44966\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2023\/06\/20230621_101225-1.jpg\" alt=\"\" width=\"165\" height=\"293\" \/><\/a>In the report, a regular elliptic equation of the 2m order, whose coefficients of the principal part are continuous in the region \u03a9\u2282Rn with a sufficiently smooth boundary \u2202\u03a9, is considered. Lp) (\u03a9), 1&lt;p&lt;+\u221e in the Grand-Lebesgue space is considered. This space is not a separable space. For this reason, the space Lp) (\u03a9) is defined as a separable subspace Np) (\u03a9) where infinitely differentiable functions are dense. The grand Sobolev space Np)2m(\u03a9) of 2m order Sobolev differential functions generated by the subspace Nq) (\u03a9) was determined. Chowder-type estimation is proved for this equation up to the boundary. Using this estimate, an a priori estimate was obtained and the fredholmness of the elliptic equation of 2m order viewed in Np)2m(\u03a9) space was proved.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-44962\" data-ride=\"carousel\"><ol class='carousel-indicators'><li data-target=\"#carousel-1\" data-slide-to=\"0\" class=\"active\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"1\" class=\"\"><\/li><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a href='https:\/\/www.imm.az\/exp\/2023\/06\/21\/head-of-the-department-nonharmonic-analysis-corresponding-member-of-anas-doctor-of-physical-and-mathematical-sciences-prof-bilal-telman-oglu-bilalov-made-a-presentation-on-the-topic\/20230621_100454-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2023\/06\/20230621_100454-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2023\/06\/21\/head-of-the-department-nonharmonic-analysis-corresponding-member-of-anas-doctor-of-physical-and-mathematical-sciences-prof-bilal-telman-oglu-bilalov-made-a-presentation-on-the-topic\/20230621_101122-2\/'><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2023\/06\/20230621_101122-1.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" \/><\/a><\/div><\/div>\n<a class=\"carousel-control-prev\" href=\"#carousel-1\" role=\"button\" data-slide=\"prev\">\n    <span class=\"carousel-control-prev-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Previous<\/span>\n  <\/a>\n\n      <a class=\"carousel-control-next\" href=\"#carousel-1\" role=\"button\" data-slide=\"next\">\n    <span class=\"carousel-control-next-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Next<\/span>\n  <\/a>\n    \n    <\/div><\/div>\n<p>\u00a9 All rights are reserved. Citing to www.imm.az is necessary upon using news.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Today, the general Institute seminar was held at the Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan. \u00a0At the seminar head of the Department &#8220;Nonharmonic Analysis&#8221;, Corresponding Member of ANAS, doctor of physical and mathematical sciences, prof. Bilal Telman oglu \u00a0Bilalov \u00a0made \u00a0a \u00a0presentation on the [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":44948,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[130],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/44962"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=44962"}],"version-history":[{"count":3,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/44962\/revisions"}],"predecessor-version":[{"id":44969,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/44962\/revisions\/44969"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media\/44948"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=44962"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=44962"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=44962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}