1.0Arbeitsgemeinschaft der Universitätsverlagehttps://universitaetsverlage.euXMLRPChttps://universitaetsverlage.eu/author/xmlrpc/rich600338<blockquote class="wp-embedded-content"><a href="https://universitaetsverlage.eu/bucher-e-books/titel/path-regularity-for-stochastic-differential-equations-in-banach-spaces/">Path Regularity for Stochastic Differential Equations in Banach Spaces</a></blockquote> <script type='text/javascript'> <!--//--><![CDATA[//><!-- /*! This file is auto-generated */ !function(d,l){"use strict";var e=!1,o=!1;if(l.querySelector)if(d.addEventListener)e=!0;if(d.wp=d.wp||{},!d.wp.receiveEmbedMessage)if(d.wp.receiveEmbedMessage=function(e){var t=e.data;if(t)if(t.secret||t.message||t.value)if(!/[^a-zA-Z0-9]/.test(t.secret)){var r,a,i,s,n,o=l.querySelectorAll('iframe[data-secret="'+t.secret+'"]'),c=l.querySelectorAll('blockquote[data-secret="'+t.secret+'"]');for(r=0;r<c.length;r++)c[r].style.display="none";for(r=0;r<o.length;r++)if(a=o[r],e.source===a.contentWindow){if(a.removeAttribute("style"),"height"===t.message){if(1e3<(i=parseInt(t.value,10)))i=1e3;else if(~~i<200)i=200;a.height=i}if("link"===t.message)if(s=l.createElement("a"),n=l.createElement("a"),s.href=a.getAttribute("src"),n.href=t.value,n.host===s.host)if(l.activeElement===a)d.top.location.href=t.value}}},e)d.addEventListener("message",d.wp.receiveEmbedMessage,!1),l.addEventListener("DOMContentLoaded",t,!1),d.addEventListener("load",t,!1);function t(){if(!o){o=!0;var e,t,r,a,i=-1!==navigator.appVersion.indexOf("MSIE 10"),s=!!navigator.userAgent.match(/Trident.*rv:11\./),n=l.querySelectorAll("iframe.wp-embedded-content");for(t=0;t<n.length;t++){if(!(r=n[t]).getAttribute("data-secret"))a=Math.random().toString(36).substr(2,10),r.src+="#?secret="+a,r.setAttribute("data-secret",a);if(i||s)(e=r.cloneNode(!0)).removeAttribute("security"),r.parentNode.replaceChild(e,r)}}}}(window,document); //--><!]]> </script><iframe sandbox="allow-scripts" security="restricted" src="https://universitaetsverlage.eu/bucher-e-books/titel/path-regularity-for-stochastic-differential-equations-in-banach-spaces/embed/" width="600" height="338" title="„Path Regularity for Stochastic Differential Equations in Banach Spaces“ — Arbeitsgemeinschaft der Universitätsverlage" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" class="wp-embedded-content"></iframe>https://universitaetsverlage.eu/wp-content/uploads/asolmerce/image-9783866441446.jpg452640In this work we analzyse the Stochastic Cauchy Problem driven by a cylindrical Wiener process. Given the existence of solutions we show regularity of the paths of the solution. In dependence on properties of the operators in the equation or on geometrical properties of the underlying Banachspace we derive space time regularity results for the paths of the solution.