Selected Publications

  1. G. Hetzer, W. Mackens, and H. Jarausch, A multiparameter sensitivity analysis of a 2D diffusive climate model, Impact of Computing in Science and Engineering 1 (1989), 327-393.
  2. G. Hetzer, The structure of the principal component for semilinear diffusion equations from energy balance climate models, Houston Journal of Mathematics 16(1990), 203-216.
  3. G. Hetzer and P.G. Schmidt, Global existence and asymptotic behavior for a quasilinear reaction-diffusion system from climate modeling, Journal of Mathematical Analysis and Applications 160(1991), 250-269.
  4. H. Engler and G. Hetzer, Convergence to equilibria for a class of reaction-diffusion systems, Osaka Journal of Mathematics 29(1992), 471-481.
  5. G. Hetzer, A parameter-dependent time-periodic reaction-diffusion equation from climate modeling: S-shapedness of the principal branch of fixed points of the time-1-map, Differential and Integral Equations 7(1994), 1419-1425.
  6. G. Hetzer, A functional reaction-diffusion equation from climate modeling: S-shapedness of the principal branch of fixed points of the time-1-map, Differential and Integral Equations 8(1995), 1047-1059.
  7. G.Hetzer, Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory, Electronic Journal of Differential Equations 1996(1996), No. 05, pp. 1-16.
  8. K. Deimling, G. Hetzer, and W. Shen, Almost periodicity enforced by Coulomb friction, Adv. Differential Equations 1 (1996), no. 2, 265-281.
  9. G. Hetzer, S-shapedness for energy balance climate models of Sellers-type, pp. 253--287 in The mathematics of models for climatology and environment, J.I. Diaz (ed.), NATO ASI Series I: Global Environmental Changes, vol.~48, Springer Verlag 1997.
  10. J.I. Diaz and G. Hetzer, A quasilinear functional reaction-diffusion equation arising in climatology, pp. 461--480 in "Equations aux d'eriv'ees partielles et Applications, Articles d'edi'es 'a J.-L. Lions", Gauthier-Villars ('Editions Scientifique et M'edicales Elsevier), 1998.
  11. The number of stationary solutions for a one-dimensional Budyko-type climate models, Nonlinear Analysis, Real World Applications, 2 (2001), 259-272.
  12. The shift-semiflow of a multivalued evolution equation from climate modeling, Nonlinear Analysis, 47 (2001), 2905--2916.
  13. G. Hetzer and W. Shen, Convergence in Almost Periodic Competition Diffusion Systems, Journal of Mathematical Analysis and Applications, 262 (2001), 307--338.
  14. G. Hetzer, W. Shen, and S. Zhu, Convergence in Random and Stochastic Parabolic Equations of Fisher and Kolmogorov Types, Journal of Dynamics and Differential Equations, 14 (2002), 139--188.
  15. G. Hetzer and W. Shen, Uniform persistence, coexistence, and extinction in almost periodic/nonautonomous competition diffusion systems, SIAM Journal on Mathematical Analysis, 34 (2002), 204--227.
  16. G. Hetzer and L. Tello, On a Reaction--Diffusion System arising in Climatology, Dynamic Syst. Appl., 11 (2002), 381--402.
  17. G. Hetzer and W. Shen, Two Species Competition with an Inhibitor Involved, Discrete Continuous Dynamical Systems, 12 (2005), 39--57.
  18. J.I. Diaz, G. Hetzer, and L. Tello, An Energy Balance Climate Model with Hysteresis, Nonlinear Analysis, 64 (2006), 2053--2074.
  19. G. Hetzer, Tung Nguyen, and Wenxian Shen, A-Stability of Global Attractors of Competition Diffusion Systems, J. Dyn. Diff. Equat. 22 (2010), 533--561.
  20. G. Hetzer, Tung Nguyen, and Wenxian Shen, Effects of small spatial variation of the reproduction rate in a two species competition model, Electron. J. Diff. Equ., Vol. 2010 (2010), 1-16.