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Abstract:

In this paper we continue our study of the large time behavior of the bounded solution to the nonlocal diffusion equation with absorption [EQUATION PRESENTED] Of independent interest is our study of the positive eigenfunction of the operator L in the ball BR in the L setting that we include in Section 3. © 2015-IOS Press and the authors.

Registro:

Documento: Artículo
Título:Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data: The subcritical case
Autor:Salort, A.; Terra, J.; Wolanski, N.
Filiación:IMAS-CONICET, Ciudad Universitaria, Buenos Aires, Argentina
Departamento de Matematica, FCEyN-UBA, Ciudad Universitaria, Buenos Aires, Argentina
Palabras clave:large time behavior; nonlocal diffusion; Eigenvalues and eigenfunctions; Partial differential equations; Bounded solution; Large time behavior; Nonlocal diffusion; Subcritical case; Diffusion
Año:2015
Volumen:95
Número:1-2
Página de inicio:39
Página de fin:57
DOI: http://dx.doi.org/10.3233/ASY-151320
Título revista:Asymptotic Analysis
Título revista abreviado:Asymptotic Anal
ISSN:09217134
CODEN:ASANE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09217134_v95_n1-2_p39_Salort

Referencias:

  • Bates, P., Chmaj, A., An integrodifferential model for phase transitions: Stationary solutions in higher dimensions (1999) J. Statistical Phys., 95, pp. 1119-1139
  • Bates, P., Chmaj, A., A discrete convolution model for phase transitions (1999) Arch. Rat. Mech. Anal., 150, pp. 281-305
  • Bates, P., Fife, P., Ren, X., Wang, X., Travelling waves in a convolution model for phase transitions (1997) Arch. Rat. Mech. Anal., 138, pp. 105-136
  • Bates, P., Zhao, G., Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal (2007) J. Math. Anal. Appl., 332, pp. 428-440
  • Carrillo, C., Fife, P., Spatial effects in discrete generation population models (2005) J. Math. Biol., 50 (2), pp. 161-188
  • Chaves, M., Chasseigne, E., Rossi, J.D., Asymptotic behavior for nonlocal diffusion equations (2006) Adv. Differential Equations, 2, pp. 271-291
  • Cortazar, C., Elgueta, M., Quiros, F., Wolanski, N., Asymptotic behavior for a nonlocal diffusion equation in domains with holes (2012) Arch. Rat. Mech. Anal., 205, pp. 673-697
  • Fife, P., Some nonclassical trends in parabolic and parabolic-like evolutions (2003) Trends in Nonlinear Analysis, pp. 153-191. , Springer, Berlin
  • Garciá-Melián, J., Quirós, F., Fujita exponents for evolution problems with nonlocal diffusion (2010) J. Evol. Equ., 10 (1), pp. 147-161
  • Garciá-Melián, J., Rossi, J.D., On the principal eigenvalue of some nonlocal diffusion problems (2009) J. Differential Equations, 246 (1), pp. 21-38
  • Gilboa, G., Osher, S., Nonlocal operators with application to image processing (2008) Multiscale Model. Simul., 7 (3), pp. 1005-1028
  • Gmira, A., Véron, L., Large time behaviour of the solutions of a semilinear parabolic equation in RN (1984) J. Differential Equations, 53, pp. 258-276
  • Ignat, Rossi, J.D., Refined asymptotic expansions for nonlocal diffusion equations (2008) J. Evolution Equations., 8, pp. 617-629
  • Lederman, C., Wolanski, N., Singular perturbation in a nonlocal diffusion model (2006) Communications in PDE, 31 (2), pp. 195-241
  • Pazoto, A., Rossi, J.D., Asymptotic behavior for a semilinear nonlocal equation (2007) Asymptotic Analysis., 52 (1-2), pp. 143-155
  • Terra, J., Wolanski, N., Asymptotic behavior for a nonlocal diffusion equation with absorption and nonintegrable initial data. The supercritical case (2011) Proc. Amer. Math. Soc., 139 (4), pp. 1421-1432
  • Terra, J., Wolanski, N., Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data (2011) Discrete Cont. Dyn. Syst. A, 31 (2), pp. 581-605
  • Zhang, L., Existence uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks (2004) J. Differential Equations, 197 (1), pp. 162-196

Citas:

---------- APA ----------
Salort, A., Terra, J. & Wolanski, N. (2015) . Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data: The subcritical case. Asymptotic Analysis, 95(1-2), 39-57.
http://dx.doi.org/10.3233/ASY-151320
---------- CHICAGO ----------
Salort, A., Terra, J., Wolanski, N. "Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data: The subcritical case" . Asymptotic Analysis 95, no. 1-2 (2015) : 39-57.
http://dx.doi.org/10.3233/ASY-151320
---------- MLA ----------
Salort, A., Terra, J., Wolanski, N. "Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data: The subcritical case" . Asymptotic Analysis, vol. 95, no. 1-2, 2015, pp. 39-57.
http://dx.doi.org/10.3233/ASY-151320
---------- VANCOUVER ----------
Salort, A., Terra, J., Wolanski, N. Large time behavior for a nonlocal diffusion equation with absorption and bounded initial data: The subcritical case. Asymptotic Anal. 2015;95(1-2):39-57.
http://dx.doi.org/10.3233/ASY-151320