On variational approach to the Hamilton-Jacobi PDE

Jan H. Chabrowski; Ke Wei Zhang

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 4, page 613-633
  • ISSN: 0010-2628

Abstract

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In this paper we construct a minimizing sequence for the problem (1). In particular, we show that for any subsolution of the Hamilton-Jacobi equation ( * ) there exists a minimizing sequence weakly convergent to this subsolution. The variational problem (1) arises from the theory of computer vision equations.

How to cite

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Chabrowski, Jan H., and Zhang, Ke Wei. "On variational approach to the Hamilton-Jacobi PDE." Commentationes Mathematicae Universitatis Carolinae 34.4 (1993): 613-633. <http://eudml.org/doc/247459>.

@article{Chabrowski1993,
abstract = {In this paper we construct a minimizing sequence for the problem (1). In particular, we show that for any subsolution of the Hamilton-Jacobi equation $(\ast )$ there exists a minimizing sequence weakly convergent to this subsolution. The variational problem (1) arises from the theory of computer vision equations.},
author = {Chabrowski, Jan H., Zhang, Ke Wei},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Young measures; computer vision equations; Hamilton-Jacobi PDE},
language = {eng},
number = {4},
pages = {613-633},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On variational approach to the Hamilton-Jacobi PDE},
url = {http://eudml.org/doc/247459},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Chabrowski, Jan H.
AU - Zhang, Ke Wei
TI - On variational approach to the Hamilton-Jacobi PDE
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 4
SP - 613
EP - 633
AB - In this paper we construct a minimizing sequence for the problem (1). In particular, we show that for any subsolution of the Hamilton-Jacobi equation $(\ast )$ there exists a minimizing sequence weakly convergent to this subsolution. The variational problem (1) arises from the theory of computer vision equations.
LA - eng
KW - Young measures; computer vision equations; Hamilton-Jacobi PDE
UR - http://eudml.org/doc/247459
ER -

References

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  12. Lawrence C. Evans, Weak convergence methods for nonlinear partial differential equations, CBMS Regional Conference Series in Mathematics (74) Amer. Math. Soc. MR1034481
  13. Kohn R.V., Strang G., Optimal design and relaxation of variational problems, I, (1986), 39 Comm. Pure and Applied Math. 113-137. (1986) Zbl0609.49008MR0820342
  14. Kozera R., Existence and uniqueness in photometric stereo, Applied Mathematics and Computation (1991), 44(1) 1-103. (1991) Zbl0732.53005MR1110435
  15. Tartar L., Compensated compactness, Heriot-Watt Symposium (1978), 4. (1978) 

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