6 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
Asymptotic parabolicity for strongly damped wave equations
Genni Fragnelli, Gisèle Ruiz Goldstein, Jerome A. Goldstein +1
For a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction o…