Registro:

Referencias:

• Amar, M., Bellettini, G., A notion of total variation depending on a metric with discontinuous coefficients (1994) Ann. Inst H. Poincaré Anal. Non Linéaire, 11 (1), pp. 91-133
• Ambrosio, L., Fusco, N., Pallara, D., (2000) Functions of Bounded Variation and Free Discontinuity Problems, , Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York
• Andreu, F., Ballester, C., Caselles, V., Mazón, J.M., Minimizing total variationow (2001) Diffrential Integral Equations, 14 (3), pp. 321-360
• Andreu, F., Caselles, V., Mazón, J.M., Para-bolic quasilinear equations minimizing linear growth functionals (2004) Progress in Mathematics, 223. , Birkhäuser Verlag, Basel
• Andreu, F., Mazón, J.M., Rossi, J.D., Toledo, J., The Neumann problem for nonlocal nonlinear diffusion equations (2008) J. Evol. Equ., 8 (1), pp. 189-215
• Andreu, F., Mazón, J.M., Rossi, J.D., Toledo, J., A nonlocal p-Laplacian evolution equation with Neumann boundary conditions (2008) J. Math. Pures Appl. (9), 90 (2), pp. 201-227
• Andreu, F., Mazón, J.M., Rossi, J.D., Toledo, J., The limit as p → ∞ in a nonlocal p-Laplacian evolution equation: A nonlocal approximation of a model for sandpiles (2009) Calc. Var. Partial Diffrential Equations, 35 (3), pp. 279-316
• Andreu, F., Mazón, J.M., Rossi, J.D., Toledo, J., A nonlocal p-Laplacian evolution equation with nonhomogeneous Dirichlet boundary conditions (2008) SIAM J. Math. Anal., 40 (5), pp. 1815-1851
• Andreu, F., Mazón, J.M., De L.S.Segura, Toledo, J., Quasi-linear elliptic and parabolic equations in L1 with nonlinear boundary conditions (1997) Adv. Math. Sci. Appl., 7 (1), pp. 183-213
• Anzellotti, G., Pairings between measures and bounded functions and compensated compactness (1984) Ann. Mat. Pura Appl. (4), 135 (1983), pp. 293-318
• Bates, P.W., Chmaj, A., An integroDiffrential model for phase transitions: Stationary solutions in higher space dimensions (1999) J. Statist. Phys., 95 (5-6), pp. 1119-1139
• Bates, P.W., Chmaj, A., A discrete convolution model for phase transitions (1999) Arch. Ration. Mech. Anal., 150 (4), pp. 281-305
• Bates, P.W., Fife, P.C., Ren, X., Wang, X., Traveling waves in a convolution model for phase transitions (1997) Arch. Rational Mech. Anal., 138 (2), pp. 105-136
• Bellettini, G., Bouchitté, G., Fragalà, I., BV functions with respect to a measure and relaxation of metric integral functionals (1999) J. Convex Anal., 6 (2), pp. 349-366
• Bénilan, Ph., Crandall, M.G., Completely accretive operators in: "Semigroup theory and evolution equations" (Delft, 1989) (1991) Lecture Notes in Pure and Appl. Math., 135, pp. 41-75. , Dekker, New York
• Bénilan, Ph., Crandall, M.G., Pazy, A., Evolution Equations Governed by Accretive Operators, , book to appear
• Bourgain, J., Brezis, H., Mironescu, P., Another look at Sobolev spaces (2001) Optimal Control and Partial Diffrential Equations, pp. 439-455. , (J. l. Menaldi et al., eds.), a volume in honour of A. Bensoussan's 60th birthday, IOS Press
• Brezis, H., Équations et inéquations non linéaires dans les espaces vectoriels en dualité (1968) Ann. Inst. Fourier (Grenoble), 18 (1), pp. 115-175
• Brezis, H., (1973) Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, , North-Holland Mathematics Studies 5, Notas de Matemática 50, North-Holland Publishing Co., Amsterdam-London; American Elsevier Publishing Co., Inc., New York
• Brezis, H., Pazy, A., Convergence and approximation of semigroups of nonlinear operators in Banach spaces (1972) J. Func-tional Analysis, 9, pp. 63-74
• Caffarelli, L.A., Salsa, S., Silvestre, L., Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian (2008) Invent. Math., 171 (2), pp. 425-461
• Caffarelli, L., Silvestre, L., An extension problem related to the fractional Laplacian (2007) Comm. Partial Diffrential Equations, 32 (7-9), pp. 1245-1260
• Carrillo, C., Fife, P., Spatial effects in discrete generation population models (2005) J. Math. Biol., 50 (2), pp. 161-188
• Caselles, V., Facciolo, G., Meinhardt, E., Anisotropic Cheeger sets and applications (2009) SIAM J. Imaging Sci., 2 (4), pp. 1211-1254
• Caselles, V., Kimmel, R., Sapiro, G., Geodesic active contours (1995) Fifth International Conference on Computer Vision (ICCV'95), , Massachusetts Institute of Technology, Cambridge, Massachusetts
• Caselles, V., Kimmel, R., Sapiro, G., Geodesic active contours (1997) International Journal of Computer Vision, 22 (1), pp. 61-79
• Chasseigne, E., Chaves, M., Rossi, J.D., Asymptotic behavior for nonlocal diffusion equations (2006) J. Math. Pures Appl. (9), 86 (3), pp. 271-291
• Chen, X., Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations (1997) Adv. Diffrential Equations, 2 (1), pp. 125-160
• Chen, Y., Wunderli, T., Adaptive total variation for image restoration in BV space (2002) J. Math. Anal. Appl., 272 (1), pp. 117-137
• Chua, S.-K., Extension theorems on weighted Sobolev spaces (1992) Indiana Univ. Math. J., 41 (4), pp. 1027-1076
• Cortázar, C., Coville, J., Elgueta, M., Martínez, S., A nonlocal inhomogeneous dispersal process (2007) J. Diffrential Equations, 241 (2), pp. 332-358
• Cortázar, C., Elgueta, M., Rossi, J.D., A nonlocal diffusion equation whose solutions develop a free boundary (2005) Ann. Henri Poincaré, 6 (2), pp. 269-281
• Cortázar, C., Elgueta, M., Rossi, J.D., Wolanski, N., Boundary uxes for nonlocal diffusion (2007) J. Diffrential Equations, 234 (2), pp. 360-390
• Cortázar, C., Elgueta, M., Rossi, J.D., Wolanski, N., How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems (2008) Arch. Ration. Mech. Anal., 187 (1), pp. 137-156
• Coville, J., Dávila, J., Martínez, S., Nonlocal anisotropic dispersal with monostable nonlinearity (2008) J. Diffrential Equations, 244 (12), pp. 3080-3118
• Crandall, M.G., Nonlinear semigroups and evolution governed by accretive operators,in: "Nonlinear functional analysis and its applications" (1986) Proc. Sympos. Pure Math., 45, pp. 305-337. , Part 1 (Berkeley, Calif., 1983), Amer. Math. Soc., Providence, RI
• Drábek, P., Kufner, A., Nicolosi, F., (1997) Quasilinear Ellip-tic Equations with Degenerations and Singularities, , de Gruyter Series in Nonlinear Analysis and Applications 5, Walter de Gruyter & Co., Berlin
• Evans, L.C., Gariepy, R.F., Measure theory and fine properties of functions (1992) Studies in Advanced Mathematics, , CRC Press, Boca Raton, FL
• Fife, P., Some nonclassical trends in parabolic and parabolic-like evolutions (2003) Trends in Nonlinear Analysis, pp. 153-191. , Springer, Berlin
• Fife, P.C., Wang, X., A convolution model for interfacial motion: The generation and propagation of internal layersin higher space dimensions (1998) Adv. Diffrential Equations, 3 (1), pp. 85-110
• Heinonen, J., Kilpeläinen, T., Martio, O., (1993) Nonlinear Potential Theory of Degenerate Elliptic Equations, , Oxford Mathematical Monographs, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York
• Kilpeläinen, T., Weighted Sobolev spaces and capacity (1994) Ann. Acad. Sci. Fenn. Ser. A i Math., 19 (1), pp. 95-113
• Rudin, L.I., Osher, S., Fatemi, E., Nonlinear total variation based noise removal algorithms (1992) Physica D., 60, pp. 259-268
• Silvestre, L., Hölder estimates for solutions of integro-Diffrential equations like the fractional Laplace (2006) Indiana Univ. Math. J., 55 (3), pp. 1155-1174
• Silvestre, L., Regularity of the obstacle problem for a fractional power of the Laplace operator (2007) Comm. Pure Appl. Math., 60 (1), pp. 67-112
• Strong, D., Chan, T., (1996) Relation of Regularization Parameter and Scale in Total Variation Based Image Denoising, , UCLACAM Report 96-7, University of California, Los Angeles, CA
• Urbano, J.M., "The method of intrinsic scaling". A systematic approach to regularity for degenerate and singular PDEs (1930) Lecture Notes in Mathematics, , Springer-Verlag, Berlin, 2008
• Vázquez, J.L., (2006) Smoothing and Decay Estimates for Nonlinear Diffusion Equations, 33. , Equations of porous medium type, Oxford Lecture Series in Mathematics and its Applications Oxford University Press, Oxford
• Wang, X., Metastability and stability of patterns in a convolution model for phase transitions (2002) J. Diffrential Equations, 183 (2), pp. 434-461
• Zhang, L., Existence, uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks (2004) Journal of Differential Equations, 197 (1), pp. 162-196. , DOI 10.1016/S0022-0396(03)00170-0
• Ziemer, W.P., (1989) Weakly Dieffrentiable Functions, 120. , Sobolev spaces and functions of bounded variation, Graduate Texts in Mathematics Springer-Verlag, New York

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------