{"id":86548,"date":"2018-03-10T00:11:12","date_gmt":"2018-03-10T00:11:12","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/un-problema-de-contorno-para-la-ecuaciones-de-ginzburg-landau\/"},"modified":"2018-03-10T00:11:12","modified_gmt":"2018-03-10T00:11:12","slug":"un-problema-de-contorno-para-la-ecuaciones-de-ginzburg-landau","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/un-problema-de-contorno-para-la-ecuaciones-de-ginzburg-landau\/","title":{"rendered":"Un problema de contorno para la ecuaciones de ginzburg-landau"},"content":{"rendered":"<h2>Tesis doctoral de <strong>  Gutierrez De Gracia Susana <\/strong><\/h2>\n<p>El objetivo principal de esta memoria es el de establecer una teor\u00eda de existencia y unicidad de soluci\u00f3n en los espacios l\u00aa(rn) para el problema de contorno definido por la ecuaci\u00f3n de ginzburg-landau en rn, au=u(1-(u)2), y una cierta condici\u00f3n l\u00edmite en el infitio que viene dada en t\u00e9rminos de una funci\u00f3n f de l2(sn-1).Concretamente, probamos que el problema de contorno est\u00e1 bienpropuesto en una bola de l4(rn) si los datos f son peque\u00f1os y la dimensi\u00f3n del espacio n= 3 \u00f3 4.  en la prueba del resultado se utiliza un argumento de punto fijo basadoen estimaciones a priori de las soluciones de la ecuaci\u00f3n de helmoholtz y del operador de extensi\u00f3n de la transformada de fourier de medidas sobre la esfera unidad, as\u00ed como en las propiedades de acotaci\u00f3n de las soluciones de la ecuaci\u00f3n de ginzaburg-landau. En particular, establecemos estimaciones de tipo morrey-campanato para u y su gradiente en funci\u00f3n de una condici\u00f3n de radiaci\u00f3n de sommerfeld.  terminamos este an\u00e1lisis dando algunas posibles generalizaciones de este resultado y estudiando la ecuaci\u00f3n diferencial oridnaria que satisfacen las soluciones radiales y reales de la ecuaci\u00f3nd e ginzburg-landau.  por \u00faltimo, probamos estimaciones de tipo d\u00e9bil-restringido para los operadores de bochner-riesz de \u00edndice negativo en puntos cr\u00edticos para el problema de acotaci\u00f3n en espacios de medida de lebesgue.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Un problema de contorno para la ecuaciones de ginzburg-landau<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Un problema de contorno para la ecuaciones de ginzburg-landau <\/li>\n<li><strong>Autor:<\/strong>\u00a0  Gutierrez De Gracia Susana <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Pa\u00eds vasco\/euskal herriko unibertsitatea<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 25\/09\/2000<\/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>Luis Vega Gonzalez<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: javier Duoandikoetxea zuazo <\/li>\n<li> Lopez velazquez Juan  Jos\u00e9 (vocal)<\/li>\n<li>Antonio Cordoba barba (vocal)<\/li>\n<li>xavier Cabr\u00e9 vilagut (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Gutierrez De Gracia Susana El objetivo principal de esta memoria es el de establecer una teor\u00eda de [&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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