{"id":61739,"date":"2007-04-12T00:00:00","date_gmt":"2007-04-12T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/convergencia-gamma-no-periodica\/"},"modified":"2007-04-12T00:00:00","modified_gmt":"2007-04-12T00:00:00","slug":"convergencia-gamma-no-periodica","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/convergencia-gamma-no-periodica\/","title":{"rendered":"Convergencia-gamma no peri\u00f3dica"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Pereira Serrano H\u00e9lia Da Concei\u00c1\u00a7ao <\/strong><\/h2>\n<p>En esta disertaci\u00f3n se estudia la convergencia-gamma de funcionales integrales en el contexto no peri\u00f3dico. En concreto, se introduce una nueva condici\u00f3n suficiente, designada por composition gradient property (cgp), que permite calcular expl\u00edcitamente la densidad de la energ\u00eda l\u00edmite de sucesiones de funcionales integrales no peri\u00f3dicos. La densidad se representa, a trav\u00e9s de un problema de minimizaci\u00f3n, usando la medida de young asociada a la sucesi\u00f3n de funciones que determinan la sucesi\u00f3n de funcionales. La condici\u00f3n cgp es una condici\u00f3n estructural de la sucesi\u00f3n de aplicaciones, que definen la sucesi\u00f3n de funcionales. Se estudian algunos ejemplos interesantes. A continuaci\u00f3n, se estudia la convergencia-gamma de funcionales cuadr\u00e1ticos con perturbaciones lineales oscilantes, en los contextos peri\u00f3dico, con multi-escalas, y no peri\u00f3dico. En el contexto peri\u00f3dico con multi-escalas, se obtiene una representaci\u00f3n completa, de los coeficientes cuadr\u00e1tico y lineal, de la densidad de la energ\u00eda l\u00edmite en dos casos distintos. En el primer caso, se considera que ambos, los coeficientes cuadr\u00e1tico y lineal de las energ\u00edas, oscilan en la misma familia de escalas de oscilaci\u00f3n separadas; mientras que en el segundo las oscilaciones son en distintas familias de escalas. Es importante resaltar que el coeficiente lineal homogeneizado depende de la interacci\u00f3n entre los comportamientos oscilantes de los coeficientes cuadr\u00e1tico y lineal, de las densidades de las energ\u00edas. Finalmente, se estudia la convergencia-gamma de funcionales cuyas densidades son diferentes potencias, p y q, de la norma del gradiente, que dependen de la estructura espacial laminada. Se concluye que la densidad de la energ\u00eda l\u00edmite es una combinaci\u00f3n convexa de las diferentes potencias. Adem\u00e1s, este resultado se generaliza para sucesiones de funcionales con cualquier densidad convexa con crecimiento no est\u00e1ndar, dependiente de dicha estructura espacial, sin restricciones en<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Convergencia-gamma no peri\u00f3dica<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Convergencia-gamma no peri\u00f3dica <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Pereira Serrano H\u00e9lia Da Concei\u00c1\u00a7ao <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Complutense de Madrid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 04\/12\/2007<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Pablo Pedregal Tercero<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal:  D\u00edaz d\u00edaz Jes\u00fas ildefonso <\/li>\n<li>daniel Faraco hurtado (vocal)<\/li>\n<li>tom\u00e1s Roubicek (vocal)<\/li>\n<li>Jos\u00e9 Carlos Bellido guerrero (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Pereira Serrano H\u00e9lia Da Concei\u00c1\u00a7ao En esta disertaci\u00f3n se estudia la convergencia-gamma de funcionales integrales en el [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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