2 citations · 2 across the 4 of their papers we have counts for
4 papers
Gradient Bounds and Coarsening Estimates for Some Molecular Beam Epitaxy Models
Daniel Oliveira da Silva, Magzhan Biyar
We prove global well-posedness for some molecular beam epitaxy models. This requires proving some bounds on the gradient of solutions. We also obtain some global bounds on the roug…
Global Well-Posedness for the Fifth-Order Kadomtsev-Petviashvili II Equation in Anisotropic Gevrey Spaces
Aissa Boukarou, Daniel Oliveira da Silva, Kaddour Guerbati +1
We show that the fifth-order Kadomtsev-Petviashvili II equation is globally well-posed in an anisotropic Gevrey space, which complements earlier results on the well-posedness of th…
Local Well-Posedness for Generalized Semilinear Black-Scholes Equations
Daniel Oliveira da Silva, Kamilla Igibayeva, Adelina Khoroshevskaya +1
We consider some parabolic equations which are model problems for a variety of nonlinear generalizations to the Black-Scholes equation of mathematical finance. In particular, we pr…
On the regularity of the 2+1 dimensional Skyrme model
Dan-Andrei Geba, Daniel da Silva
One of the most interesting open problems concerning the Skyrme model of nuclear physics is the regularity of its solutions. In this article, we study 2+1 dimensional equivariant S…