Selected Publications
- 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.
- 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.
- 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.
- H. Engler and G. Hetzer, Convergence to equilibria for a class
of reaction-diffusion systems, Osaka Journal of Mathematics 29(1992),
471-481.
- 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.
- 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.
- 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.
- K. Deimling, G. Hetzer, and W. Shen, Almost periodicity enforced
by
Coulomb friction, Adv. Differential Equations 1 (1996), no. 2, 265-281.
- 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.
- 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.
- The number of stationary solutions for a one-dimensional
Budyko-type climate models, Nonlinear Analysis, Real World
Applications, 2 (2001), 259-272.
- The shift-semiflow of a multivalued evolution equation from
climate modeling, Nonlinear Analysis, 47 (2001), 2905--2916.
- G. Hetzer and W. Shen, Convergence in Almost Periodic
Competition Diffusion Systems, Journal of Mathematical Analysis and
Applications, 262 (2001), 307--338.
- 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.
- 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.
- G. Hetzer and L. Tello, On a Reaction--Diffusion System arising
in Climatology, Dynamic Syst. Appl., 11 (2002), 381--402.
- G. Hetzer and W. Shen, Two Species Competition with an Inhibitor
Involved, Discrete Continuous Dynamical Systems, 12 (2005), 39--57.
- J.I. Diaz, G. Hetzer, and L. Tello, An Energy Balance Climate
Model with Hysteresis, Nonlinear Analysis, 64 (2006), 2053--2074.
- G. Hetzer, Tung Nguyen, and Wenxian Shen, A-Stability of Global Attractors
of Competition Diffusion Systems, J. Dyn. Diff. Equat. 22 (2010), 533--561.
- 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.