Research theme for competitive and other funds (5):
2005 - 2007 Study on the asymptotic behavior of solutions of quasilinear parabolic equations with a blow-up term
1999 - 2000 Asymptotic behavior of solutions of quasilinear parabolic equations with convection
1997 - 1998 消える熱源を持つ準線形放物型方程式の局所解または大域解の存在・非存在
準線形放物型方程式の解の爆発
準線形放物型方程式の解の漸近的挙動
Papers (23):
N. Umeda. Blow-up at space infinity for a quasilinear parabolic equation with space-dependent reaction. Hokkaido Math. J. 2021. 50. 345-408
Ryuichi Suzuki, Noriaki Umeda. Blow-up of solutions of a quasilinear parabolic equation. Proc. Royal Soc. Edinburgh, Sect. A, Math. (UK). 2012. 142. 2. 425-448