Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

Global existence, large time behavior and life span of solutions of a semilinear parabolic Cauchy problem

Tzong-Yow Lee, Wei‐Ming Ni · Transactions of the American Mathematical Society · 1992 · 226 citations

Natural Sciences, Mathematics, Physics +15

Life Span of Solutions of the Cauchy Problem for a Semilinear Heat Equation

C.F. Gui, X.F. Wang · Journal of Differential Equations · 1995 · 57 citations · Full text

Natural Sciences, Mechanical Engineering, Physics +12

Blow-up directions for quasilinear parabolic equations

Yukihiro Seki, Noriaki Umeda, Ryuichi Suzuki · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2008 · 21 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +12

On directional blow-up for quasilinear parabolic equations with fast diffusion

Yukihiro Seki · Journal of Mathematical Analysis and Applications · 2007 · 17 citations

Natural Sciences, Computational Engineering, Dynamical Systems +13

Blow-up sets and asymptotic behavior of interfaces for quasilinear degenerate parabolic equations in RN

Kiyoshi Mochizuki, Ryuichi Suzuki · Journal of the Mathematical Society of Japan · 1992 · 14 citations · Full text

Natural Sciences, Physics, Combustion +14