穴田 浩一

Type II singularities in area-preserving curvature flows of convex symmetric immersed closed plane curves 

Journal of Differential Equations 437 2025年8月  査読有り筆頭著者責任著者

Upper estimates for blow-up solutions of a quasi-linear parabolic equation 

Japan Journal of Industrial and Applied Mathematics 2024年1月  査読有り筆頭著者責任著者

Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation 

Japan Journal of Industrial and Applied Mathematics 39 889-920 2022年8月10日  査読有り筆頭著者責任著者

Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation 

JOURNAL OF DIFFERENTIAL EQUATIONS 262(1) 181-271 2017年1月  査読有り筆頭著者責任著者

Some features for blow-up solutions of a nonlinear parabolic equation 

IAENG International Journal of Applied Mathematics 45(3) 2015年  査読有り筆頭著者

Asymptotic Behavior of Blow-up Solutions to a Degenerate Parabolic Equation 

Journal of Math-for-Industry 2011年  査読有り筆頭著者

Classification of the motion of hypersurfaces for harmonic mean curvature flows by blow-up rates of solutions to a parabolic differential equation 

Communications in Applied Analysis 7 519-528 2003年  査読有り筆頭著者責任著者

Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows 

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 51(2) 305-319 2002年10月  査読有り筆頭著者責任著者

Contraction of surfaces by harmonic mean curvature flows and nonuniqueness of their self similar solutions 

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 12(2) 109-116 2001年3月  査読有り筆頭著者責任著者

Contraction of Surfaces by Harmonic Mean Curvature Flows 

Waseda University 2001年3月  

Regional blow-up and decay of solutions to the initial boundary value problem for u_t=uu_xx−γ(u_x)^2+ku^2 

Funkcialaj Ekvacioj 39(3) 363-387 1996年  査読有り