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math.AP2011★ 1 cited
Hölder continuity to Hamilton-Jacobi equations with superquadratic growth in the gradient and unbounded right-hand side
Pierre Cardaliaguet, Luis Silvestre
We show that solutions of time-dependent degenerate parabolic equations with super-quadratic growth in the gradient variable and possibly unbounded right-hand side are locally ${\m…
math.AP2011★ 14 cited
Holder continuity for a drift-diffusion equation with pressure
Luis Silvestre, Vlad Vicol
We address the persistence of Hölder continuity for weak solutions of the linear drift-diffusion equation with nonlocal pressure \[ u_t + b \cdot \grad u - \lap u = \grad p,\qquad…
math.AP2011
Unique continuation for fully nonlinear elliptic equations
Scott N. Armstrong, Luis Silvestre
We show that a viscosity solution of a uniformly elliptic, fully nonlinear equation which vanishes on an open set must be identically zero, provided that the equation is .…