21 citations · 60 across the 7 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.AP2019★ 7 cited
Single-point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equation in domains with non-constant curvature
Carlos Esteve
We consider the diffusive Hamilton-Jacobi equation in a bounded planar domain with zero Dirichlet boundary condition. It is known that, for , the sol…
math.AP2019★ 21 cited
The evolution problem associated with eigenvalues of the Hessian
Pablo Blanc, Carlos Esteve, Julio D. Rossi
In this paper we study the evolution problem \[ \left\lbrace\begin{array}{ll} u_t (x,t)- λ_j(D^2 u(x,t)) = 0, & \text{in } Ω\times (0,+\infty), \\ u(x,t) = g(x,t), & \text{on } \pa…