Miyamoto, Yasuhito A planar convex domain with many isolated “hot spots” on the boundary. (English) Zbl 1260.35090 Japan J. Ind. Appl. Math. 30, No. 1, 145-164 (2013). MSC: 35P15 35J25 35B38 35J05 PDFBibTeX XMLCite \textit{Y. Miyamoto}, Japan J. Ind. Appl. Math. 30, No. 1, 145--164 (2013; Zbl 1260.35090) Full Text: DOI
Miyamoto, Yasuhito The “hot spots” conjecture for a certain class of planar convex domains. (English) Zbl 1283.35016 J. Math. Phys. 50, No. 10, 103530, 7 p. (2009). MSC: 35J05 35P05 PDFBibTeX XMLCite \textit{Y. Miyamoto}, J. Math. Phys. 50, No. 10, 103530, 7 p. (2009; Zbl 1283.35016) Full Text: DOI
Miyamoto, Yasuhito On the shape of the stable patterns for activator-inhibitor systems in two-dimensional domains. (English) Zbl 1147.35048 Q. Appl. Math. 65, No. 2, 357-374 (2007). Reviewer: Bernhard Kawohl (Köln) MSC: 35K50 35B35 35K57 35J60 35P15 35B25 92D25 92C15 PDFBibTeX XMLCite \textit{Y. Miyamoto}, Q. Appl. Math. 65, No. 2, 357--374 (2007; Zbl 1147.35048) Full Text: DOI
Miyamoto, Yasuhito An instability criterion for activator-inhibitor systems in a two-dimensional ball. (English) Zbl 1154.35371 J. Differ. Equations 229, No. 2, 494-508 (2006). Reviewer: Rodica Luca Tudorache (Iaşi) (MR2263564) MSC: 35K50 35B35 35K57 35Q80 37L15 PDFBibTeX XMLCite \textit{Y. Miyamoto}, J. Differ. Equations 229, No. 2, 494--508 (2006; Zbl 1154.35371) Full Text: DOI