Research Interests

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CV PDF-file

Publications



A.B., "Second Order Cauchy Problems with Damping and Delay", PhD Thesis, Tübingen, 2000. (ps-file)


  1. A.B., S. Piazzera, "Damped wave equations with delay", Fields Institute Communications 29(2001), 51-61. Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  2. A.B., S. Piazzera, "Semigroups and linear partial differential equations with delay", J. Math. Anal. Appl. 264(2001), 1-20.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  3. A.B., L. Maniar, A. Rhandi, "Regularity properties of perturbed Hille-Yosida operators and retarded differential equations", Semigroup Forum 64(2002), 55-70.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  4. A.B., S. Piazzera, "A semigroup method for delay equations with relatively bounded operators in the delay term", Semigroup Forum 64(2002), 71-89.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  5. Hyperbolicity of linear partial differential equations with delay, Int. Eq. Operator Theory 44 (2002), 383-396.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  6. A.B., E. Fasanga, R. Shvidkoy, "Hyperbolicity of delay equations via Fourier multipliers", Acta Sci. Math. (Szeged) 69 (2003), 131-145.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  7. A.B., B. Farkas, "On the effect of small delays to the stability of feedback systems", Progress in Nonlinear Differential Equations 55 (2003), 83-94.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  8. A. B, E. Fasanga, "The spectral mapping theorem for Davies' functional calculus", Rev. Roumaine Math. Pures Appl. 48 (2003), 365-372.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  9. On the domain characterization of fractional powers of certain operator matrices, Studia Sci. Math. Hung. 40 (2003), 327-340.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  10. A.B, K.J. Engel, "Abstract wave equations with generalized Wentzell boundary conditions", J. Diff. Eqs. 207 (2004), 1-20.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  11. A.B., R. Schnaubelt, "Asymptotic behaviour of parabolic problems with delays in the highest order derivatives", Semigroup Forum 69 (2004), 369-399.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  12. Semigroups for delay equations (with S. Piazzera, overview), International Minicourse-Workshop "Interplay between (C0)-semigroups and PDEs: theory and applications" (S. Romanelli, R.-M. Mininni, S. Lucente eds.), Arcane Editrice, Roma, 2004, pp. 1-54. (pdf file of 12/2/2004)
  13. Spectral problems for operator matrices (with P. Binding, A. Dijksma, R. Hryniv and H. Langer), Math. Nachr. 278 (2005), 1408-1429.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  14. Cosine families generated by second order differential operators on W1,1(0,1) with generalized Wentzell boundary conditions (with K.J. Engel and M. Haase), Applicable Analysis 84 (2005), 867-876.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  15. Exponential decay of 2x2 operator matrix semigroups (with K.J. Engel), J. Comp. Anal. Appl. 6 (2004), 153-164. [2006]  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\ems.gif
  16. Polynomial stability of operator semigroups (with K.J. Engel, J. Prüss and R. Schnaubelt), Math. Nachr. 279 (2006), 1425-1440.  Leírás: Leírás: C:\Users\anba\Documents\Internet\html\msn-button2.gif
  17. The spectral mapping property of delay semigroups (with Tanja Eisner and Yuri Latushkin), Complex Analysis and Operator Theory 2 (2008), 273-283.
  18. Operator splittings and spatial approximations for evolution equations (with Petra Csomós and Gregor Nickel), J. Evol. Equations 9 (2009), 613-636. (doi:10.1007/s00028-009-0026-6)
  19. Operator splitting for nonautonomous evolution equations (with Petra Csomós, Bálint Farkas, and Gregor Nickel), J. Funct. Anal. 260 (2011), 2163-2190. (doi:10.1016/j.jfa.2010.10.008)
  20. The norm convergence of a Magnus expansion method (with Eszter Sikolya), Cent. Eur. J. Math. 10 (2012), 150-158. (doi: 10.2478/s11533-011-0101-4)
  21. On shape preserving semigroups (with Adam Bobrowski), Arch. Math. 98 (2012), 37–48. (doi:10.1007/s00013-011-0340-4)
  22. Decomposition of operator semigroups on W*-algebras (with U. Groh, D. Kunszenti-Kovács, M. Schreiber), Semigroup Forum 84 (2012), 8–24. (doi:10.1007/s00233-011-9362-2)
  23. Operator splitting with spatial-temporal discretization (with Petra Csomós, Bálint Farkas, and Gregor Nickel), Operator Theory: Advances and Applications, 221 (2012), 161-171. (doi:10.1007/978-3-0348-0297-0_9)
  24. Differential equation approximations of stochastic network processes: an operator semigroup approach (with Eszter Sikolya, István Z. Kiss, Péter L. Simon), Networks and Heterogeneous Media (NHM) 7 (2012), 43-58. (doi:10.3934/nhm.2012.7.43)
  25. Operator splitting for nonautonomous delay equations (with Petra Csomós, Bálint Farkas), Computers & Mathematics with Applications, 2012. (doi:10.1016/j.camwa.2012.05.001)


Preprints

Partly available at arXiv.



Links



2nd Dynamical Networks days, Genzano di Roma, 2005



 

Research grants and prizes:

 



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