Criticality for Some Evolution Equations

The Role of Critical Exponents in Blowup Theorems

Howard A. Levine · SIAM Review · 1990 · 805 citations

Natural Sciences, Mathematics, Physics +16

Existence and non-existence of global solutions for a semilinear heat equation

Fred B. Weissler · Israel Journal of Mathematics · 1981 · 604 citations

Natural Sciences, Mathematics, Mechanical Engineering +13

On the growing up problem for semilinear heat equations

Kusuo Kobayashi, Tunekiti Sirao, Hiroshi Tanaka · Journal of the Mathematical Society of Japan · 1977 · 337 citations · Full text

Natural Sciences, Mathematics, Physics +12

Blow‐up for quasi‐linear wave equations in three space dimensions

Fritz John · Communications on Pure and Applied Mathematics · 1981 · 299 citations

Natural Sciences, Ocean Engineering, Computational Fluid Dynamics +12

Blowup in diffusion equations: A survey

Catherine Bandle, Hermann Brunner · Journal of Computational and Applied Mathematics · 1998 · 263 citations

Engineering, Computational Engineering, Computational Fluid Dynamics +10