Alex Himonas

Alex Himonas is a Professor in the Department of Mathematics at the University of Notre Dame, affiliated with the College of Science. His research focuses on Partial Differential Equations (PDEs), particularly studying existence, uniqueness, stability, and regularity of solutions in mathematical physics and financial/economic contexts. He holds a B.S. from Patras University (Greece, 1976), and M.S./Ph.D. from Purdue University (1982/1985).

Education:

• B.S., Patras University, Greece, 1976
• M.S., Purdue University, 1982
• Ph.D., Purdue University, 1985

Research interests emphasize PDEs with applications to finance and physics, including nonlinear Schrödinger equations, Korteweg-de Vries systems, and Camassa-Holm equations. His work explores analytic properties like well-posedness, analyticity, and ill-posedness in low-regularity spaces. Recent studies investigate half-line boundary value problems using methods from integrable systems and functional analysis.

Publications highlight contributions to nonlinear PDE theory, with a focus on boundary conditions, dispersive equations, and nonlocal evolution systems. His work often bridges mathematical rigor and real-world applications in atmospheric dynamics and financial modeling.

No scientific awards or grants are explicitly listed in the provided materials. Office location: 274 Hurley Bldg, Notre Dame.