{"id":88675,"date":"2018-03-10T00:13:42","date_gmt":"2018-03-10T00:13:42","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/metodos-lineales-multipaso-para-ecuaciones-integro-diferenciales-de-orden-fraccionario-en-espacios-de-banach\/"},"modified":"2018-03-10T00:13:42","modified_gmt":"2018-03-10T00:13:42","slug":"metodos-lineales-multipaso-para-ecuaciones-integro-diferenciales-de-orden-fraccionario-en-espacios-de-banach","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/matematicas\/metodos-lineales-multipaso-para-ecuaciones-integro-diferenciales-de-orden-fraccionario-en-espacios-de-banach\/","title":{"rendered":"Metodos lineales multipaso para ecuaciones integro-diferenciales de orden fraccionario en espacios de banach"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Eduardo Cuesta Montero <\/strong><\/h2>\n<p>En esta memoria se consideran ecuaciones de evoluci\u00f3n en derivadas paricales, de orden fraccionario 1&lt; a &lt; 2 en tiempo,con un t\u00e9rmino semilineal. Las ecuaciones se reescriben en su formato integro diferencial y se estudian en un marco abstracto. La parte lineal se supone definida por un operador a que genera un semigrupo holomorfo en un espacio de banach complejo. Estas ecuaciones exhiben un comportamiento intermedio entre las parab\u00f3licas (a=1) e hiperb\u00f3licas(a=2). La parte lineal del operador de evoluci\u00f3n goza de propiedades regularizantes pareciadas a las de los semigrupo holomorfos, lo que permite tratar la contrapartida semilineal v\u00eda t\u00e9cnicas de punto fijo basadas en la f\u00f3rmula de variaci\u00f3n de las constantes. Se completa el estudio del problema continuo en lo que a la regularidad en tiempo de las soluciones se refiere. Para la discretizaci\u00f3n en tiempo se combina un m\u00e9todo lineal multipaso con una adecuada regla de cuadratura fraccionarias del tipo gr\u00ed\u00bcnwald-letnikov. Las t\u00e9cnicas de an\u00e1lisis empleadas son las propias de este tipo de ecuaciones:teor\u00edas de semigrupos y operadores, reducci\u00f3n de las soluciones a la b\u00fasqueda de un punto fijo, espacios intermedios&#8230; se obtienen cotas del error \u00f3ptimas para soluciones regulares. Finalmente, para problemas lineales con dato inicial no regular, se estudia la manera de inicializar un m\u00e9todo de dos pasos para poder mantener el orden optimo de convergencia. Dicha inicializaci\u00f3n resulta ser no trivial.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Metodos lineales multipaso para ecuaciones integro-diferenciales de orden fraccionario en espacios de banach<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Metodos lineales multipaso para ecuaciones integro-diferenciales de orden fraccionario en espacios de banach <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Eduardo Cuesta Montero <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Valladolid<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 31\/01\/2001<\/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> Palencia De Lara Cesar<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: Jes\u00fas Mar\u00eda Sanz serna <\/li>\n<li>enrique Fernandez cara (vocal)<\/li>\n<li>alexander Ostermann (vocal)<\/li>\n<li>Francisco Javier Lisbona cort\u00e9s (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Eduardo Cuesta Montero En esta memoria se consideran ecuaciones de evoluci\u00f3n en derivadas paricales, de orden fraccionario [&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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