Artículo
Baroncini, C.; Bonder, J.F. "A shape-derivative approach to some pde model in image restoration" (2018) Electronic Journal of Differential Equations. 2018
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Abstract:
In this paper we analyze the shape derivative of a cost functional appearing in image restoration. The main feature of this cost functional is the appearance of a variable exponent. © 2018 Texas State University.
Registro:
| Documento: | Artículo |
| Título: | A shape-derivative approach to some pde model in image restoration |
| Autor: | Baroncini, C.; Bonder, J.F. |
| Filiación: | IMAS - CONICET, Departamento de Matemática, FCEyN - Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina |
| Palabras clave: | Nonstandard growth; Sensitivity analysis; Shape optimization |
| Año: | 2018 |
| Volumen: | 2018 |
| Título revista: | Electronic Journal of Differential Equations |
| Título revista abreviado: | Electron. J. Differ. Equ. |
| ISSN: | 10726691 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_Baroncini |
Referencias:
- Acerbi, E., Fusco, N., A transmission problem in the calculus of variations (1994) Calc. Var. Partial Dierential Equations, 2 (1), pp. 1-16. , MR 1384391
- Banichuk, N.V., (1990) Introduction to Optimization of Structures, , Springer-Verlag, New York, Translated from the Russian by Vadim Komkov. MR 1101808
- Chambolle, A., Lions, P.-L., Image recovery via total variation minimization and related problems (1997) Numer. Math, 76 (2), pp. 167-188. , MR 1440119
- Chen, Y., Levine, S., Rao, M., Variable exponent, linear growth functionals in im-age restoration (2006) SIAM J. Appl. Math, 66 (4), pp. 1383-1406. , (electronic), MR 2246061 (2007d:94004)
- Maso, G.D., (1993) An Introduction to Γ-convergence, Progress in Nonlinear Differential Equations and Their Applications, , 8, Birkhuser Boston, Inc., Boston, MA, MR 1201152
- Diening, L., Harjulehto, P., Hästö, P., Růžička, M., (2011) Lebesgue and Sobolev Spaces with Variable Exponents, 2017. , Lecture Notes in Mathematics, Springer, Heidelberg. MR 2790542
- Fan, X., Zhao, D., On the spaces Lp(X)(Ω) and Wm;p(x)(Ω) (2001) J. Math. Anal. Appl, 263 (2), pp. 424-446. , MR 1866056 (2003a:46051)
- Gilbarg, D., Trudinger, N.S., (2001) Elliptic Partial Differential Equations of Second Order, , Classics in Mathematics, Springer-Verlag, Berlin, Reprint of the 1998 edition. MR 1814364 (2001k:35004)
- Hadamard, J., (1907) Memoire Sur Le problème D’analyse Relatif à L’equilibre Des Plaques élastiques encastrées, , Bull. Soc. Math. France, Nabu Press
- Pironneau, O., (1984) Optimal Shape Design for Elliptic Systems, , Springer Series in Computational Physics, Springer-Verlag, New York, MR 725856 (86e:49003)
- Owski, J.S.L., Zolésio, J.-P., (1992) Introduction to Shape Optimization, 16. , Springer Series in Computational Mathematics, Springer-Verlag, Berlin, Shape sensitivity analysis. MR 1215733
- Tolksdorf, P., Regularity for a more general class of quasilinear elliptic equations (1984) J. Differential Equations, 51 (1), pp. 126-150
Citas:
---------- APA ----------
Baroncini, C. & Bonder, J.F. (2018) . A shape-derivative approach to some pde model in image restoration. Electronic Journal of Differential Equations, 2018.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_Baroncini [ ]
---------- CHICAGO ----------
Baroncini, C., Bonder, J.F. "A shape-derivative approach to some pde model in image restoration" . Electronic Journal of Differential Equations 2018 (2018).Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_Baroncini [ ]
---------- MLA ----------
Baroncini, C., Bonder, J.F. "A shape-derivative approach to some pde model in image restoration" . Electronic Journal of Differential Equations, vol. 2018, 2018.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_Baroncini [ ]
---------- VANCOUVER ----------
Baroncini, C., Bonder, J.F. A shape-derivative approach to some pde model in image restoration. Electron. J. Differ. Equ. 2018;2018.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10726691_v2018_n_p_Baroncini [ ]
