Himonas

A. Alexandrou Himonas

Professor

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

Email: Alex.A.Himonas.1@nd.edu
Office: 274 Hurley
Phone: (574) 631-7583
Fax: (574) 631-6579


For additional information see A. Alexandrou Himonas’s Personal Page.

Research Interests

Partial differential equations (PDE) studying fundamental questions like existence and uniqueness of solution, stability, and regularity properties. Many of these PDE arise in mathematical physics and some model finance and economics situations.


Selected Publications

  • A. Himonas & D. Mantzavinos, The Cauchy problem for the Fokas-Olver-Rosenau-Qiao equation, Nonlinear Anal. 95 (2014) 499-529.
  • J. Gorsky, A. Himonas, C. Holliman & G. Petronilho, The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces, J. Math. Anal. Appl. 405 (2013), no. 2, 349–361.
  • A. Himonas & C. Holliman, The Cauchy problem for the Novikov equation, Nonlinearity 25 (2012), no. 2, 449–479.
  • A. Fokas & A. Himonas, Well-posedness of an integrable generalization of the nonlinear Schrödinger equation on the circle, Lett. Math. Phys. 96 (2011), no. 1-3, 169–189.
  • A. Himonas & G. Misiołek, Non-uniform dependence on initial data of solutions to the Euler equations of hydrodynamics, Comm. Math. Phys. 296 (2010), no. 1, 285–301. 
  • A. Himonas & C. Kenig, Non-uniform dependence on initial data for the CH equation on the line, Differential Integral Equations 22 (2009), no. 3-4, 201–224.
  • A. Himonas, G. Misiołek, G. Ponce & Y. Zhou, Persistence properties and unique continuation of solutions of the Camassa-Holm equation, Comm. Math. Phys. 271 (2007), no. 2, 511–522.
  • O. Calin, Y. Chen, T. Cosimano & A. Himonas, Solving asset pricing models when the price-dividend function is analytic, Econometrica 73 (2005), no. 3, 961–982.
  • A. Himonas & G. Petronilho, Global hypoellipticity and simultaneous approximability,  J. Funct. Anal. 170 (2000), no. 2, 356–365.
  • A. Himonas & G. Misiołek, The Cauchy problem for a shallow water type equation, Comm. Partial Differential Equations 23 (1998), no. 1-2, 123–139.
  • N. Hanges & A. Himonas, Singular solutions for sums of squares of vector fields, Comm. Partial Differential Equations 16 (1991), no. 8-9, 1503–1511.
  • A. Himonas, Semirigid partial differential operators and microlocal analytic hypoellipticity, Duke Math. J. 59 (1989), no. 1, 265–287.

Please direct questions and comments to: Alex.A.Himonas.1@nd.edu