Art

J-GLOBAL ID：201002266671994933   Reference number：10A0363862

熱方程式の解の最大点挙動について

Author (1)： ISHIGE KAZUHIRO (東北大 大学院理学研究科)
Material： 応用数理  (Bulletin of the Japan Society for Industrial and Applied Mathematics)
Volume： 20  Issue： 1  Page： 25-36  Publication year： Mar. 25, 2010 
JST Material Number： L1191A  ISSN： 0917-2270  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： JAPANESE (JA)

Thesaurus term： *equation of heat conduction ,  *initial value problem ,  *hot spot ,  boundary condition ,  higher dimension ,  maximum value ,  asymptotic behavior ,  Laplace operator ,  eigenvalue

JST classification (2)： Mathematical physics  (BA03000W) ,  Specific heat and thermal conduction in general  (BL05021E)

Reference (17)：

• BANUELOS, R. On the "hot spots" conjecture of J. Rauch. J. Funct. Anal. 1999, 164, 1-33
• CHAVEL, I. Movement of hot spots in Riemannian manifolds. J. Analyse Math. 1990, 55, 271-286
• FUJISHIMA, Y. Blow-up for a semilinear parabolic equation with large diffusion on R^N
• ISHIGE, K. Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition. J. Differential Equations. 2005, 212, 394-431
• ISHIGE, K. Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition. Adv. Differential Equations. 2007, 12, 1135-1166

Terms in the title (3)： 熱方程式 ,  解 ,  挙動