naa a22 4500 510782221 CHVBK 20180411083251.0 cr unu---uuuuu 180411e20131101xx s 000 0 eng 10.1007/s11856-013-0008-9 doi (NATIONALLICENCE)springer-10.1007/s11856-013-0008-9 Convergence results for a class of nonlinear fractional heat equations [Elektronische Daten] [Patricio Felmer, Erwin Topp] In this article we study various convergence results for a class of nonlinear fractional heat equations of the form $\left\{ \begin{gathered} u_t (t,x) - \mathcal{I}[u(t, \cdot )](x) = f(t,x),(t,x) \in (0,T) \times \mathbb{R}^n , \hfill \\ u(0,x) = u_0 (x),x \in \mathbb{R}^n , \hfill \\ \end{gathered} \right.$ where I is a nonlocal nonlinear operator of Isaacs type. Our aim is to study the convergence of solutions when the order of the operator changes in various ways. In particular, we consider zero order operators approaching fractional operators through scaling and fractional operators of decreasing order approaching zero order operators. We further give rate of convergence in cases when the solution of the limiting equation has appropriate regularity assumptions. Hebrew University Magnes Press, 2013 Felmer Patricio Departamento de Ingeniería Matemática and CMM (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile aut Topp Erwin Departamento de Ingeniería Matemática and CMM (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile aut Israel Journal of Mathematics Springer US; http://www.springer-ny.com 198/1(2013-11-01), 1-34 0021-2172 198:1<1 2013 198 11856 https://doi.org/10.1007/s11856-013-0008-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11856-013-0008-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Felmer Patricio Departamento de Ingeniería Matemática and CMM (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile aut NATIONALLICENCE 700 1- Topp Erwin Departamento de Ingeniería Matemática and CMM (UMI 2807 CNRS), Universidad de Chile, Casilla 170 Correo 3, Santiago, Chile aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer US; http://www.springer-ny.com 198/1(2013-11-01), 1-34 0021-2172 198:1<1 2013 198 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer