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Schwerpunkt Analysis und Numerik > Michael Dreher > Veröffentlichungen



  1. Sharp energy estimats for a class of weakly hyperbolic operators (mit I. Witt) New Trends in the Theory of Hyperbolic Equations, Oper. Theory Adv. Appl. 159 (2005), 449-511.
  2. Local solutions to quasi-linear weakly hyperbolic differential equations , Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations, Oper. Theory Adv. Appl. 145 (2003), 157-205.
  3. Quantum Semiconductor Models (mit L. Chen) Partial Differential Equations and Spectral Theory, Oper. Theory Adv. Appl. 211 (2011), 1-72.
  4. Artikel in begutachteten Zeitschriften

  5. Boundary layer analysis in the semiclassical limit of a quantum drift diffusion model (mit Sh. Bian und L. Chen) J. Differential Equations 253 (2012), 356-377.
  6. Compact families of piecewise constant functions in Lp(0,T;B) (mit A. Jüngel) Nonlin. Analysis A. 75 (2012), 3072-3077.
  7. Resolvent estimates for elliptic systems in function spaces of higher regularity (mit R. Denk) Electron. J. Diff. Equ. 2011(109) 1-12.
  8. Viscous quantum hydrodynamics and parameter-elliptic systems (mit L. Chen) Math. Meth. Appl. Sci. 34 (2011), 520-531.
  9. Decay estimates for a thermoelastic system in waveguides (mit Y. Wang) J. Differential Equations 248 (2010), 2368-2398.
  10. Resolvent estimates for Douglis-Nirenberg systems , J. Evol. Equ. 9 (2009), 829-844.
  11. Ill-posed problems in thermomechanics (mit R. Quintanilla und R. Racke), Appl. Math. Lett. 22 (2009), 1374-1379.
  12. Analysis of a population model with strong cross-diffusion in unbounded domains, Royal Soc. Edinburgh Proc. A 138 (2008), 769-786.
  13. Time history interfacial conditions in multiscale computations of lattice oscillations (mit Sh. Tang), Comput. Mech. 41 (2008), 683-698.
  14. The transient equations of viscous quantum hydrodynamics, Math. Meth. Appl. Sci. 31 (2008), 391-414.
  15. The viscous model of quantum hydrodynamics in several dimensions (mit L. Chen), Math. Mod. Meth. Appl. Sci. 17 (2007), 1065-1093.
  16. Decay estimates solutions to wave equations in conical sets Commun. Part. Diff. Eq. 32 (2007), 477-501.
  17. The wave equation for the p-Laplacian, Hokkaido Math. Journal 36 (2007), 21-52.
  18. The Kirchhoff equation for the p-Laplacian Rend. Sem. Mat. Univ. Pol. Torino 64 (2006), No. 2, 217-238.
  19. Energy estimates for weakly hyperbolic systems of the first order (mit I. Witt) Communications in Contemporary Mathematics 7 (2005), No. 6, 809-837.
  20. Necessary conditions for the well-posedness of Schrödinger type equations in Gevrey spaces Bull. Sci. Math. 127(6) (2003), 485-503.
  21. Edge Sobolev spaces and weakly hyperbolic equations (mit I. Witt) Ann. Mat. Pura Appl. (4) 180 (2002), 451-482.
  22. Weakly hyperbolic equations, Sobolev spaces of variable order, and propagation of singularities Osaka J. Math. 39 (2002), 409-445.
  23. Propagation of mild singularities for semilinear weakly hyperbolic equations (mit M. Reissig) J. Anal. Math. 82 (2000), 233-266.
  24. Local solutions of weakly parabolic quasilinear differential equations (mit V. Pluschke) Math. Nachr. 198 (1999), 109-129.
  25. Local solutions of weakly parabolic semilinear differential equations (mit V. Pluschke) Math. Nachr. 200 (1999), 5-20.
  26. Local solutions of fully nonlinear weakly hyperbolic differential equations in Sobolev spaces (mit M. Reissig) Hokkaido Math. J. 27 (2) (1998), 337-381.
  27. About the C^\infty well--posedness of fully nonlinear weakly hyperbolic equations of second order with spatial degeneracy (mit M. Reissig) Adv. Differ. Equ. 2 (6) (1997), 1029-1058.
  28. Begutachtete Artikel in Proceedings

  29. Edge Sobolev spaces, weakly hyperbolic equations, and branching of singularities (mit I. Witt) Hyperbolic Differential Operators and Related Problems, Lecture Notes in Pure and Appl. Math. 233 (2003), 179-197.
  30. An application of the theory of edge Sobolev spaces to weakly hyperbolic operators Evolution Equations, Banach Center Publ. 60 (2003), 105-119.
  31. Anomalous singularities for hyperbolic equations with degeneracy of infinite order Pliska Stud. Math. Bulgar. 15 (2003), 85-93.
  32. Propagation of singularities for semilinear weakly hyperbolic differential equations Proceedings of the Second ISAAC Congress (Fukuoka 1999), Int. Soc. Anal. Appl. Comput. 8, Kluwer, (2000), 1335-1344.
  33. Weakly hyperbolic equations --- a modern field in the theory of hyperbolic equations (mit M. Reissig) Partial Differential and Integral Equations, Int. Soc. Anal. Appl. Comput. 2, Kluwer, (1999), 303-318.

  34. Sonstiges

  35. Local solutions to quasilinear weakly hyperbolic differential equations, Dissertation an der TU Bergakademie Freiberg, (1999).
  36. Lösung entarteter parabolischer Differentialgleichungen mit Hilfe der Rothe-Methode, Diplom-Arbeit an der Martin-Luther-Universität Halle-Wittenberg, (1996). Ausgezeichnet mit einem Preis auf der Studentenkonferenz der DMV-Tagung 1996.
  37. Gevrey-Lösungen voll nichtlinearer schwach hyperbolischer Differentialgleichungen (mit M. Reissig), Studienarbeit 1994, ausgezeichnet mit einem Preis auf der Studentenkonferenz der DMV-Tagung 1995.