Blow up rate for semilinear heat equation with subcritical nonlinearity

By Yoshikazu Giga, Shin’ya Matsui, S. Sasayama. 2002

136 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Optimal Liouville theorems for superlinear parabolic problems (2020, background): “Estimate (16) has also been proved in [15, 16] for p ∈ (1, pS) and even for sign-changing non-radial solutions of (11) with f(u) := |u|p−1u, but with a constant C which depends on the solution.”
Determination of the blow-up rate for the semilinear wave equation (2003, methodology): “[6] Y. Giga, S. Matsui, and S. Sasayama, Blow-up rate for semilinear heat equation with subcritical nonlinearity, preprint, 2003.”
On Blow up at Space Infinity for Semilinear Heat Equations (2006, background): “[3], [ 5 ], [6] for general bounded initial data without assuming (4) and (5).”
Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity (2015, background): “Furthermore, blow-up rate and blow-up time have been studied in [3,10,12].”