naa a22 4500 510760740 CHVBK 20180411083138.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s13163-012-0093-z doi (NATIONALLICENCE)springer-10.1007/s13163-012-0093-z On Besov regularity of solutions to nonlinear elliptic partial differential equations [Elektronische Daten] [Stephan Dahlke, Winfried Sickel] In this paper, we study the regularity of the solutions to nonlinear elliptic equations. In particular, we are interested in smoothness estimates in the specific scale $B^{\alpha}_{\tau}(L_{\tau})$ , τ=(α/d+1/2)−1, of Besov spaces which determines the approximation order of adaptive and other nonlinear numerical approximation schemes with respect to the L 2-norm. We show that the Besov regularity is high enough to justify the use of adaptive schemes. Revista Matemática Complutense, 2012 (Nonlinear) elliptic equation nationallicence Regularity of solutions nationallicence Besov spaces nationallicence Linear and nonlinear approximation methods nationallicence Dahlke Stephan FB12 Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein Straße, Lahnberge, 35032, Marburg, Germany aut Sickel Winfried Mathematisches Institut, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 2, 07743, Jena, Germany aut Revista Matemática Complutense Springer Milan 26/1(2013-01-01), 115-145 1139-1138 26:1<115 2013 26 13163 https://doi.org/10.1007/s13163-012-0093-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0093-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dahlke Stephan FB12 Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein Straße, Lahnberge, 35032, Marburg, Germany aut NATIONALLICENCE 700 1- Sickel Winfried Mathematisches Institut, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 2, 07743, Jena, Germany aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/1(2013-01-01), 115-145 1139-1138 26:1<115 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer