メイン＞研究室紹介＞廣瀬ゼミ＞業績等

業績；廣瀬准教授

学術論文

・ M. Hirose, Structure of positive radial solutions to a semilinear elliptic PDE with a gradient-term, Funkcialaj Ekvacioj, 39, 323--345, 1996
・ M. Hirose and E. Yanagida, Bifurcation of rapidly decaying solutions for the Haraux-Weissler equation, Advances in Mathematical Sciences and Applications, 7, 619--636, 1997
・ C. Dohmen and M. Hirose, Structure of positive radial solutions to the Haraux-Weissler equation, Nonlinear Analysis, Theory, Methods ＆ Applications, 33, 51--69, 1998
・ M. Hirose, Structure of positive radial solutions to the Haraux-Weissler equation II, Advances in Mathematical Sciences and Applications, 9, 473--497, 1999
・ M. Hirose and E. Yanagida, Global structure of self-similar solutions in a semilinear parabolic equation, Journal of Mathematical Analysis and Applications, 244, 348--368, 2000
・ M. Hirose and M. Ohta, Structure of positive radial solutions to scalar field equations with harmonic potential, Journal of Differential Equations, 178, 519--540, 2002
・ M.Hirose and M.Ohta, Uniqueness of positive solutions to scalar field equations with harmonic potential, Funkcialaj Ekvacioj, 50, 67--100, 2007
・ M.Hirose, Existence of global solutions for a semilinear parabolic Cauchy problem, Differential Integral Equations, 21, 623--652, 2008
・ M.Hirose, Existence of global solutions for the Cauchy problem of some parabolic equations, to appear in Adv. Math. Sci. Appl.

紀要

・ Haraux-Weissler型方程式の正値球対称解について， 京都大学数理解析研究所講究録，913, 148--168, 1995
・ Structure of radial solutions to $\Delta u +\frac12 x \cdot \nabla u + \lambda u +|u|^{p-1} u=0$ in ${\bf R}^n$，京都大学数理解析研究所講究録，966, 151--169, 1996
・ 球対称なポテンシャルを含む半線形楕円型方程式の正値解について， 京都大学数理解析研究所講究録，1197, 207--226, 2001
・ Existence of global solutions for a semilinear parabolic Cauchy problem, 京都大学数理解析研究所講究録，1436, 127--144, 2005