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Publications
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- 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.
- H. Koch and I. Lasiecka.
Hadamard Wellposedness of weak solutions in nonlinear dynamic elasticity - full
von Karman systems.
- 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.
- 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).
- 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).
- 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.
- 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.
- 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
- 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.
- H. Koch:
Transport and instability for incompressible and inviscid fluids.
1999. Math. Annalen, to appear.
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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.
- H. Koch:
Non-Euclidean singular integrals and the porous medium
equation.
Habilitation thesis 1999. (500k)
- 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
- 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.
- H. Koch:
Differentiability of parabolic semiflows in Lp-spaces and inertial manifolds
J. Dynamics Diff. Equations 12 (3): 511 - 531, 2000.
Article
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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
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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.
- H. Koch:
Slow decay in linear thermo-elasticity.
Quarterly Appl. Math., 58 (4), 601 - 612, 2000.
SFB359 Preprint 1997-17 (101k),
, MR 2002a:74043
-
H. Koch:
Classical solutions to phase transition problems are smooth.
Comm. Partial Differential Equations, 23:389-438, 1998.
MR 99g:35146
- U. Bunke, H. Koch:
The Etaform and the Maslov index.
Manuscripta Math., 189-212, 1998.
MR 99b:58221
- H. Koch:
On center manifolds.
Nonl. Anal. TMA, 28(7):1227-1248, 1997.
MR 99m:34097
- H. Koch:
Finite dimensional aspect of parabolic semiflows.
J. Dynamics Diff. Equations, 8(2):177-202, 1996.
- 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
-
H. Koch:
On a fully nonlinear mixed parabolic problem with oblique boundary
condition.
Preprint, SFB 359, Heidelberg, 1995.
- J. Cooper and H. Koch:
On the spectrum of a hyperbolic evolution operator.
J. Funct. Anal., 133(2):301-328, 1995.
- H. Koch and D. Tataru:
On the spectrum of hyperbolic semigroups.
Comm. Partial Differential Equations, 20:901-937, 1995.
- H. Koch and A. Stahel:
Global classical solutions to the dynamical von Karman
equations.
Math. Methods Appl. Sci., 16(8):581-586, 1993.
- 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.
- H. Koch:
Hyperbolic equations of second order.
Math. Z., 214:9-42, 1993.
- H. Koch:
Hyperbolic equations of second order.
PhD Thesis, Heidelberg, Ruprecht-Karls-Universität Heidelberg, 1990.
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October 10, 1999
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