caa a22 4500 445830808 CHVBK 20180317145314.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10255-011-0112-8 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0112-8 Yang Peng-fei School of Science, Beijing Institute of Technology, 100081, Beijing, China aut The hot spots conjecture on a class of domains in R n with n ⩾ 3 [Elektronische Daten] [Peng-fei Yang] In this paper, we define a class of domains in R n . Using the synchronous coupling of reflecting Brownian motion, we obtain the monotonicity property of the solution of the heat equation with the Neumann boundary conditions. We then show that the hot spots conjecture holds for this class of domains. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 synchronous coupling nationallicence reflecting Brownian motion nationallicence hot spots conjecture nationallicence Neumann eigenfunctions nationallicence Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 639-646 0168-9673 27:4<639 2011 27 10255 https://doi.org/10.1007/s10255-011-0112-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0112-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yang Peng-fei School of Science, Beijing Institute of Technology, 100081, Beijing, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 639-646 0168-9673 27:4<639 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer