Global existence and blow-up for a nonlinear porous medium equation

Partial differential equations of parabolic type

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

Natural Sciences, Mathematics, Differential Equations +11

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

Diffusive Logistic Equations with Indefinite Weights: Population Models in Disrupted Environments II

Robert Stephen Cantrell, Chris Cosner · SIAM Journal on Mathematical Analysis · 1991 · 179 citations

Life Sciences, Ecology, Mathematics +14

Blow-up problems for quasilinear parabolic equations

Ryuichi Suzuki · Nonlinear Analysis · 1997 · 103 citations

Engineering, Mechanical Engineering, Computational Fluid Dynamics +8