J. Takahashi

activity

20232025

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2 papers · 1 filter

math.AP2024

Critical norm blow-up rates for the energy supercritical nonlinear heat equation

Tobias Barker, Hideyuki Miura, Jin Takahashi

We prove the first classification of blow-up rates of the critical norm for solutions of the energy supercritical nonlinear heat equation, without any assumptions such as radial sy…

math.AP2024

Moving gradient singularity for the evolutionary $p$ -Laplace equation

Erik Lindgren, Jin Takahashi

We consider the evolutionary $p$ -Laplace equation in $R^{n}$ . For $p > n$ , we construct a solution $u$ with a moving gradient singularity in the sense that $|\nabla u(x,t)|\to…

Critical norm blow-up rates for the energy supercritical nonlinear heat equation

Moving gradient singularity for the evolutionary p-Laplace equation

Moving gradient singularity for the evolutionary $p$ -Laplace equation