On the Cauchy problem for the evolution p-Laplacian equations with gradient term and source

Existence and Nonexistence of Global Solutions for Nonlinear Parabolic Equations

Masayoshi Tsutsumi · Publications of the Research Institute for Mathematical Sciences · 1972 · 195 citations · Full text

Some Blowup Results for a Nonlinear Parabolic Equation with a Gradient Term

Michel Chipot, Fred B. Weissler · SIAM Journal on Mathematical Analysis · 1989 · 166 citations

Blowup Results, Monge-ampere Equation, Elliptic Equation +12

On solutions of some doubly nonlinear degenerate parabolic equations with absorption

Masayoshi Tsutsumi · Journal of Mathematical Analysis and Applications · 1988 · 122 citations

Hyperbolic Conservation Law, Parabolic Equation, Nonlinear Hyperbolic Problem +2

Asymptotic stability and blowing up of solutions of some nonlinear equations

Hitoshi Ishii · Journal of Differential Equations · 1977 · 116 citations

Parabolic Equation, Asymptotic Stability, Nonlinear Equations +4

Finite Time Blow-up for a Non-linear Parabolic Equation with a Gradient Term and Applications

Philippe Souplet · Mathematical Methods in the Applied Sciences · 1996 · 87 citations

Numerical Analysis, Non-linear Parabolic Equation, Energy Restriction +9