# Some blowup results for a nonlinear parabolic equation with a gradient term

Chipot, M; Weissler, F (1989). Some blowup results for a nonlinear parabolic equation with a gradient term. SIAM Journal on Numerical Analysis, 20(4):886-907.

## Abstract

Under some conditions, a blowup result is proved for the solution $u$ of: $\begin{gathered} u_t = \Delta u - \left| {\nabla u} \right|^q + \left| {u} \right|^{p - 1} u,\quad t > 0,\quad x \in \Omega \hfill \\ u(t,x) = 0,\quad t > 0,\quad x \in \Gamma , \hfill \\ u(0,x) = \varphi (x),\quad x \in \Omega . \hfill \\ \end{gathered}$ The associated elliptic problem is also studied. ©1989 Society for Industrial and Applied Mathematics

## Abstract

Under some conditions, a blowup result is proved for the solution $u$ of: $\begin{gathered} u_t = \Delta u - \left| {\nabla u} \right|^q + \left| {u} \right|^{p - 1} u,\quad t > 0,\quad x \in \Omega \hfill \\ u(t,x) = 0,\quad t > 0,\quad x \in \Gamma , \hfill \\ u(0,x) = \varphi (x),\quad x \in \Omega . \hfill \\ \end{gathered}$ The associated elliptic problem is also studied. ©1989 Society for Industrial and Applied Mathematics

## Statistics

### Citations

Dimensions.ai Metrics
103 citations in Web of Science®