6 citations · 7 across the 3 of their papers we have counts for
3 papers · 1 filter
Chaos for generalized Black-Scholes equations
Anna Maria Candela, Gisèle Ruiz Goldstein, Jerome A. Goldstein +1
The Nobel Prize winning Black-Scholes equation for stock options and the heat equation can both be written in the form \[ \frac{\partial u}{\partial t}=P_2(A)u, \] where $P_2(z)=αz…
Instantaneous blowup and singular potentials on Heisenberg groups
Gisele R. Goldstein, Jerome A. Goldstein, Alessia E. Kogoj +2
In this paper we generalize the instantaneous blowup result from [3] and [15] to the heat equation perturbed by singular potentials on the Heisenberg group.
Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions
Ciprian G. Gal, Gisele Ruiz Goldstein, Jerome A. Goldstein +2
We give necessary and sufficient conditions for the solvability of some semilinear elliptic boundary value problems involving the Laplace operator with linear and nonlinear highest…