3 papers
math.AP2020
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…
math.AP2018
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…
math.AP2012
Continuity of generalized wave maps on the sphere
Daniel da Silva
We consider a generalization of wave maps based on the Adkins-Nappi model of nuclear physics. In particular, we show that solutions to this equation remain continuous at the origin…