3 papers
math.AP2025
Blow-up rate for the subcritical semilinear heat equation in non-convex domains
Hideyuki Miura, Jin Takahashi, Erbol Zhanpeisov
We consider the semilinear heat equation in possibly non-convex and unbounded domains. Our main result shows the nonexistence of type II blow-up for possibly…
math.AP2025
Wellposedness of inviscid SQG in the half-plane
In-Jee Jeong, Junha Kim, Hideyuki Miura
We consider the SQG equation without dissipation on the half-plane with Dirichlet boundary condition, and prove local wellposedness in the spaces and for any $…
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…