Neumann and second boundary value problems for hessian and Gauß curvature flows

Oliver C Schnürer; Knut Smoczyk

Annales de l'I.H.P. Analyse non linéaire (2003)

  • Volume: 20, Issue: 6, page 1043-1073
  • ISSN: 0294-1449

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Schnürer, Oliver C, and Smoczyk, Knut. "Neumann and second boundary value problems for hessian and Gauß curvature flows." Annales de l'I.H.P. Analyse non linéaire 20.6 (2003): 1043-1073. <http://eudml.org/doc/78602>.

@article{Schnürer2003,
author = {Schnürer, Oliver C, Smoczyk, Knut},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Hessian and Gauss curvature flows; Neumann boundary condition; second boundary condition; Hessian flows; long time existence; convergence},
language = {eng},
number = {6},
pages = {1043-1073},
publisher = {Elsevier},
title = {Neumann and second boundary value problems for hessian and Gauß curvature flows},
url = {http://eudml.org/doc/78602},
volume = {20},
year = {2003},
}

TY - JOUR
AU - Schnürer, Oliver C
AU - Smoczyk, Knut
TI - Neumann and second boundary value problems for hessian and Gauß curvature flows
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2003
PB - Elsevier
VL - 20
IS - 6
SP - 1043
EP - 1073
LA - eng
KW - Hessian and Gauss curvature flows; Neumann boundary condition; second boundary condition; Hessian flows; long time existence; convergence
UR - http://eudml.org/doc/78602
ER -

References

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  3. [3] Chou K.-S, Wang X.-J, A logarithmic Gauß curvature flow and the Minkowski problem, Ann. Inst. H. Poincaré Analyse Non Linéaire17 (6) (2000) 733-751. Zbl1071.53534MR1804653
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  5. [5] Daskalopoulos P, Hamilton R, The free boundary in the Gauß curvature flow with flat sides, J. Reine Angew. Math.510 (1999) 187-227. Zbl0931.53031MR1696096
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  11. [11] Ivochkina N.M, Ladyženskaja O.A, Estimation of the second derivatives on the boundary for surfaces evolving under the action of their principal curvatures, Algebra i Analiz9 (1997) 30-50, (in Russian). Translation in , St. Petersburg Math. J.9 (1998) 199-217. Zbl0893.35053MR1468545
  12. [12] Ladyženskaja O.A, Solonnikov V.A, Ural'zeva N.N, Linear and Quasilinear Equations of Parabolic Type, (in Russian). Translated from the Russian by S. Smith , Transl. Math. Monographs, 23, American Mathematical Society, Providence, RI, 1967, xi+648 pp. Zbl0174.15403MR241822
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  15. [15] Schnürer O.C, The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds, Math. Z.242 (2002) 159-181. Zbl1042.53026MR1985454
  16. [16] Urbas J, Weingarten hypersurfaces with prescribed gradient image, Math. Z.240 (2002) 53-82. Zbl1130.35341MR1906707
  17. [17] Urbas J, The second boundary value problem for a class of Hessian equations, Comm. Partial Differential Equations26 (2001) 859-882. Zbl1194.35158MR1843287
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