Classification of certain qualitative properties of solutions for the quasilinear parabolic equations

Continuation of blowup solutions of nonlinear heat equations in several space dimensions

Victor A. Galaktionov, Juan Luís Vázquez · Communications on Pure and Applied Mathematics · 1997 · 310 citations

Geometric Partial Differential Equation, Several Space Dimensions, Nonlinear Heat Equations +8

Existence and Nonexistence of Solutions for ut = div(|∇u|p − 2 ∇u) + f(∇u, u, x, t)

Jia Zhao · Journal of Mathematical Analysis and Applications · 1993 · 143 citations

Geometric Partial Differential Equation

Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations

Philippe Souplet, Fred B. Weissler · Journal of Mathematical Analysis and Applications · 1997 · 64 citations

Nonlinear Parabolic Equations, Nonlinear Hyperbolic Problem, Hyperbolic Equation +1

Critical extinction and blow‐up exponents for fast diffusive <i>p</i>‐Laplacian with sources

Jingxue Yin, Chunhua Jin · Mathematical Methods in the Applied Sciences · 2007 · 55 citations · Full text

Spectral Theory, Dirichlet Form, Elliptic Equation +6

Blow‐up for semilinear parabolic equations with a gradient term

Pavol Quíttner · Mathematical Methods in the Applied Sciences · 1991 · 49 citations

Numerical Analysis, Gradient Term, Parabolic Equation