Publications
  1. H. Koch and V. A. Solonnikov. Lq-estimates of first-Order derivatives of solutions to the Nonstationary Stokes Problem. Dedicated to O. A. Ladyzhenskaya. To appear. Kluwer/Plenum (English), Rozhkvoskaya (Russian) 2002.
  2. H. Koch and I. Lasiecka. Hadamard Wellposedness of weak solutions in nonlinear dynamic elasticity - full von Karman systems.
  3. H. Koch and V. A. Solonnikov. Lq-Estimates for a solutions to the nonstationary Stokes equation. Journal of Mathematical Sciences, Vol. 106, No 3, 2001. Article.
  4. H. Koch and D. Tataru: Recent results on unique continuation for second order elliptic equations. In F. Colombini: Carleman estimates and applications to uniqueness and control theory. Birkhauser Boston, MA. 73-84 (2001).
  5. H. Koch and W. Sickel: Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. 2000. Revista Mat. Iberoamericana, to appear. Preprint (147k).
  6. H. Koch and D. Tataru: Sharp counter examples in unique countinuation for second order elliptic equations. 2002. Journal Reine und Angewandte Mathematik, to appear. Preprint.
  7. H. Koch and D. Tataru: Carleman estimates and unique continuation for second order elliptic equations with nonsmooth coefficients. CPAM, 54(3), 339-360 (2001). CPAM.
  8. M. Ben-Artzi, J.-C. Saut and H. Koch: Dispersion estimates for fourth order Schrödinger equations. C.R. Acad. Sci. Paris, t. 330, Serie I, p. 87-92, 2000. CMP 1 770 930
  9. H. Koch and D. Tataru: Well-posedness for the Navier-Stokes equations. Preprint SFB 359, 1999. Advances in Math. 157, (1), 22-35, 2001 . Article.
  10. H. Koch: Transport and instability for incompressible and inviscid fluids. 1999. Math. Annalen, to appear.
  11. H. Koch: Instability for incompressible and inviscid fluids. In: W. Jäger, J. Necas, O. John, N. Najzar, and J. Stara, editors, Partial differential equations: theory and numerical analysis, 240-247 , 1999.
  12. H. Koch: Non-Euclidean singular integrals and the porous medium equation. Habilitation thesis 1999. (500k)
  13. M. Ben-Artzi and H. Koch: Decay of mass for a semilinear parabolic problem, Comm. Partial Differential Equations, 24, 869-881, 1999. MR 2000a:35098
  14. C. Kenig, H. Koch, J. Pipher and T. Toro: A new approach to absolute continuity of the elliptic measure, with applications to non-symmetric equations. Advances in Math., 2000. CMP 1 770 930 , Article.
  15. H. Koch: Differentiability of parabolic semiflows in Lp-spaces and inertial manifolds J. Dynamics Diff. Equations 12 (3): 511 - 531, 2000. Article
  16. S.S. Antman and H. Koch: Self-sustained oscillations of nonlinear viscoelastic bodies. SIAM J. Appl. Math. 60(4):1357-1387, 2000. CMP 1 760 039
  17. H. Koch and S.S. Antman: Stability and Hopf bifurcation for fully nonlinear parabolic-hyperbolic equations. SIAM J. Math. Anal. 32(2): 360-384, 2000.
  18. H. Koch: Slow decay in linear thermo-elasticity. Quarterly Appl. Math., 58 (4), 601 - 612, 2000. SFB359 Preprint 1997-17 (101k), , MR 2002a:74043
  19. H. Koch: Classical solutions to phase transition problems are smooth. Comm. Partial Differential Equations, 23:389-438, 1998. MR 99g:35146
  20. U. Bunke, H. Koch: The Etaform and the Maslov index. Manuscripta Math., 189-212, 1998. MR 99b:58221
  21. H. Koch: On center manifolds. Nonl. Anal. TMA, 28(7):1227-1248, 1997. MR 99m:34097
  22. H. Koch: Finite dimensional aspect of parabolic semiflows. J. Dynamics Diff. Equations, 8(2):177-202, 1996.
  23. H. Koch: Global classical solutions to a two phase Stefan problem. In: M. Demuth and B.-W. Schulze, editors, Differential equations, asymptotic analysis and mathematical physics, 181-183. Akademie Verlag, 1996. CMP 1 456 189
  24. H. Koch: On a fully nonlinear mixed parabolic problem with oblique boundary condition. Preprint, SFB 359, Heidelberg, 1995.
  25. J. Cooper and H. Koch: On the spectrum of a hyperbolic evolution operator. J. Funct. Anal., 133(2):301-328, 1995.
  26. H. Koch and D. Tataru: On the spectrum of hyperbolic semigroups. Comm. Partial Differential Equations, 20:901-937, 1995.
  27. H. Koch and A. Stahel: Global classical solutions to the dynamical von Karman equations. Math. Methods Appl. Sci., 16(8):581-586, 1993.
  28. H. Koch: Small periodic solutions to quasilinear hyperbolic equations. In: C. Simo C. Perello and J. Sola-Morales, Eds, International conference on differential equations, Barcelona 1991, 638-644. World Scientific, 1993.
  29. H. Koch: Hyperbolic equations of second order. Math. Z., 214:9-42, 1993.
  30. H. Koch: Hyperbolic equations of second order. PhD Thesis, Heidelberg, Ruprecht-Karls-Universität Heidelberg, 1990.



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