Boundedness and blow up for a semilinear reaction-diffusion system

Partial differential equations of parabolic type

John S. Maybee · Journal of the Franklin Institute · 1965 · 3.3K citations

Natural Sciences, Mathematics, Differential Equations +11

Multidimensional nonlinear diffusion arising in population genetics

D. G. Aronson, Hans F. Weinberger · Advances in Mathematics · 1978 · 1.9K citations

Life Sciences, Biology, Genetics +14

Asymptotically self‐similar blow‐up of semilinear heat equations

Yoshikazu Giga, Robert V. Kohn · Communications on Pure and Applied Mathematics · 1985 · 612 citations

Natural Sciences, Physics, Dynamical Systems +10

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

Blow-up of positive solutions of semilinear heat equations

Avner Friedman · Indiana University Mathematics Journal · 1985 · 545 citations

Natural Sciences, Physics, Differential Equations +13