Total versus single point blow-up of solutions of a semilinear parabolic equation with localized reaction

Blow-up of positive solutions of semilinear heat equations

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

Natural Sciences, Physics, Differential Equations +13

Blow-up in Nonlocal Reaction-Diffusion Equations

Philippe Souplet · SIAM Journal on Mathematical Analysis · 1998 · 251 citations

Natural Sciences, Mathematics, Differential Equations +14

Uniform Blow-Up Profiles and Boundary Behavior for Diffusion Equations with Nonlocal Nonlinear Source

Philippe Souplet · Journal of Differential Equations · 1999 · 224 citations

Natural Sciences, Mechanical Engineering, Differential Equations +15

Single point blow-up for a semilinear initial value problem

Fred B. Weissler · Journal of Differential Equations · 1984 · 168 citations

Natural Sciences, Mathematics, Differential Equations +10

The blowup property of solutions to some diffusion equations with localized nonlinear reactions

John Chadam, Anthony Peirce, Hong‐Ming Yin · Journal of Mathematical Analysis and Applications · 1992 · 116 citations

Natural Sciences, Mathematics, Physics +16