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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 s…
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 $1…