Gisèle Goldstein

Gisèle Goldstein is a Professor in the Department of Mathematical Sciences at The University of Memphis. Her research focuses on mathematical physics, continuum mechanics, financial mathematics, quantum mechanical density functional theory, applied analysis, and partial differential equations. She has contributed to the study of boundary value problems, operator theory, and semigroups of operators, with a particular emphasis on Wentzell boundary conditions and their applications in various physical and financial models.

Her work spans theoretical and applied mathematics, addressing complex equations such as the Black-Scholes model in finance, diffusion processes on Riemannian manifolds, and nonlinear parabolic equations. Goldstein has extensively explored the interplay between mathematical analysis and real-world phenomena, including heat equations, wave equations, and stochastic processes. Her research also delves into foundational topics like Hardy inequalities and spectral theory.

Goldstein's contributions to operator semigroups and their applications have advanced understanding in areas such as maximal regularity, analytic semigroups, and ergodic limits. Her interdisciplinary approach bridges mathematical rigor with practical applications in financial modeling, quantum mechanics, and continuum mechanics.