4 citations · 4 across the 1 of their papers we have counts for
2 papers
math.AP2020★ 4 cited
Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation
Noriko Mizoguchi, Philippe Souplet
The Cauchy-Dirichlet pbm for the superquadratic viscous Hamilton-Jacobi eqn (VHJ), which has important applications in stochastic control theory, admits a unique, global viscosity…
math.AP2018
Optimal condition for blow-up of the critical norm for the semilinear heat equation
Noriko Mizoguchi, Philippe Souplet
We shed light on a long-standing open question for the semilinear heat equation . Namely, without any restriction on the exponent nor on the smooth do…