Algunas Publicaciones / Selected Publications.


1) D. F. Rial - J. D. Rossi.  Blow-up results and localization of blow-up points in an n-dimensional smooth domain.  Duke Mathematical Journal. Vol. 88 (2), 391-405, (1997). Click

2) F. Quiros - J. D. Rossi. Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions. Indiana University Mathematics Journal. Vol. 50(1), 629-654, (2001). Click

3) F. Quiros - J. D. Rossi - J. L. Vazquez. Thermal avalanche for blow-up solutions of semilinear heat equations. Communications on Pure and Applied Mathematics. Vol. LVII, No. 1, 59-98, (2004). Click

4) E. Chasseigne - M. Chaves - J. D. Rossi. Asymptotic behavior for nonlocal diffusion equations.  Journal de Mathematiques Pures et Appliquees. Vol. 86, 271-291, (2006).  Click

5) L. I. Ignat - J. D. Rossi. A nonlocal convection-diffusion equation. Journal of Functional Analysis. Vol. 251(2), 399-437, (2007). Click

6) C. Cortazar - M. Elgueta - J. D. Rossi - N. Wolanski. How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems. Archive for Rational Mechanics and Analysis. Vol. 187(1), 137-156, (2008). Click

7) F. Andreu - J. M. Mazon - J. D. Rossi - J. Toledo. The limit as $p\to \infty$ in a nonlocal $p-$Laplacian evolution equation. A nonlocal approximation of a model for sandpiles. Calculus of Variations and Partial Differential Equations. Vol. 35(3), 279-316, (2009). Click

8) L. I. Ignat - J. D. Rossi. Decay estimates for nonlocal problems via energy methods. Journal de Mathematiques Pures et Appliquees. Vol. 92(2), 163-187, (2009). Click

9) J. J. Manfredi - M. Parviainen - J. D. Rossi. On the definition and properties of $p$-harmonious functions. Annali della Scuola Normale Superiore di Pisa, Clase di Scienze. Vol. XI(2), 215-241, (2012). Click

10) J. M. Mazon - J. D. Rossi - S. Segura de Leon. Functions of Least Gradient  and $1$-Harmonic functions. Indiana University Mathematics Journal. Vol. 63(4), 1067-1084, (2014). Click

11) J. M. Mazon - J. D. Rossi - J. Toledo. Optimal mass transport on metric graphs. To appear in SIAM Journal on Optimization. SIOPT. Vol. 25(3), 1609–1632, (2015).  Click





Fuensanta Andreu-Vaillo - José M. Mazón - Julio D. Rossi - J. Julián Toledo-Melero. Nonlocal Diffusion Problems. American Mathematical Society. Mathematical Surveys and Monographs 2010. Vol. 165. ISBN-10: 0-8218-5230-2. ISBN-13: 978-0-8218-5230-9.


               Book Chapter.

1)      J. D. Rossi. Elliptic problems with nonlinear boundary conditions and the Sobolev trace theorem. Chapter 5 of HANDBOOK OF DIFFERENTIAL EQUATIONS: STATIONARY PARTIAL DIFFERENTIAL EQUATIONS, 2. Edited by M.Chipot - P. Quittner. Elsevier. (2005). (96 pag). Link




Última modificación/Last update

2 de enero de 2017/ Jan. 2th 2017.