Algunas Publicaciones / Selected Publications.

 

 

1) J. D. Rossi - N. Wolanski. Blow-up vs. global existence for a semilinear reaction-diffusion system in a bounded domain. Communications in Partial Differential Equations, 20 (11\&12), 1991-2004, (1995). Click

2) 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

3) R. G. Duran - J. I. Etcheverry - J. D. Rossi. Numerical approximations of a parabolic problem with a nonlinear boundary condition. Discrete and Continuous Dynamical Systems.  Vol 4 (3), 497-506, (1998). Click

4) G. Acosta - J. Fernández Bonder - J. D. Rossi. Stable manifold approximation for the heat equation with nonlinear boundary conditions. J. Dynam. Differential Equations, 12 (3), 557-578, (2000). Click

5) J. Fernández Bonder - J. D. Rossi. Blow-up vs. spurious steady solutions. Proc. Amer. Math. Soc., 129 (1), 139-144, (2001). Click

6) 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

7) A. de Pablo - F. Quiros - J. D. Rossi. Asymptotic simplification for a reaction diffusion problem with a nonlinear boundary condition. IMA Jour. Appl. Math. Vol. 67, 69-98, (2002). Click

8) F. Quiros - J. D. Rossi - J. L. Vazquez. Complete blow-up and thermal avalanche for  heat equations with nonlinear boundary conditions. Communications in Partial Differential Equations. Vol 27 (1&2), 395-424, (2002). Click

9) R. Ferreira – P. Groisman – J. D. Rossi. Numerical blow-up for a nonlinear problem with a nonlinear boundary condition. Mathematical Models and Methods in the Applied Sciences. Vol. 12(4), 461-484, (2002). Click

10) R. Ferreira - F. Quiros - J. D. Rossi. The balance between nonlinear reaction and absorption at the boundary. Journal Differential Equations. Vol. 184, 259-282, (2002). Click

11) F. Andreu - J. M. Mazon - J. Toledo - J. D. Rossi. Porous medium equation with absorption and a nonlinear boundary condition. Nonlinear Analysis TM&A. Vol. 49 (4), 541-563, (2002). Click

12) P. Groisman – J. D. Rossi – H. Zaag. On the dependence of the blow-up time with respect to the initial data in a semilinear  parabolic problem. Communications in Partial Differential Equations. Vol. 28 (3\&4), 737-744, (2003). Click

13) R. Ferreira – P. Groisman – J. D. Rossi. An adaptive numerical scheme for a parabolic problem with blow-up. IMA Journal of Numerical Analysis.  Vol. 23 (3), 439-463, (2003). Click

14) J. Garcia Azorero - I. Peral - J. D. Rossi. A convex-concave problem with a nonlinear boundary condition. Journal of Differential Equations. Vol. 198 (1), 91-128, (2004). Click

15) 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

16) J. Fernández Bonder – E. Lami Dozo – J. D. Rossi. Symmetry properties for the extremals of the Sobolev trace embedding.  Annales de l'Institut Henri Poincare. Analyse Non Lineaire. Vol. 21 (6), 795-805, (2004). Click

17) J. Garcia-Melian - J. D. Rossi.  Boundary blow-up solutions to elliptic systems of competitive type. Journal of Differential Equations. Vol. 206 (1), 156-181, (2004). Click

18) J. Fernandez Bonder – J. D. Rossi. On the existence of extremals for the Sobolev trace embedding theorem with critical exponent. Bulletin of the London Mathematical Society. Vol. 37 (1), 119-125, (2005).  Click

19) C. Cortazar - M. Elgueta - J. D. Rossi. A non-local diffusion equation whose solutions develop a free boundary. Annales Henri Poincaré. Vol 6(2), 269-281, (2005). Click

20) J. Fernandez Bonder - J. D. Rossi - N. Wolanski. Regularity of the free boundary in an optimization problem related to the best Sobolev trace constant.  SIAM Journal on Control and Optimization. Vol. 44(5), 1614-1635, (2005). Click

21) C. Brandle - F. Quiros - J. D. Rossi. An adaptive numerical method to handle blow-up in a parabolic system. Numerische Mathematik. Vol. 102(1), 39-59, (2005). Click

22) R. Ferreira - A. de Pablo - J. D. Rossi. Blow-up for a degenerate diffusion problem not in divergence form. Indiana University Mathematics Journal. Vol. 55(3), 955-974, (2006). Click

23) 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

24) J. Garcia-Melian - J. D. Rossi - J. Sabina. A bifurcation problem governed by the boundary condition II. Proceedings of the London Mathematical Society. Vol. 94(1), 1-25, (2007). Click

25) C. Cortazar - M. Elgueta - J.D. Rossi - N. Wolanski. Boundary fluxes for non-local diffusion. Journal of Differential Equations Vol. 234, 360-390, (2007). Click

26) J. Fernandez Bonder - P. Groisman - J.D. Rossi. Optimization of the first Steklov eigenvalue in domains with holes: a shape derivative approach. Annali di Matematica Pura ed Applicata. Vol. 186(2), 341-358, (2007). Click

27) J. D. Rossi - M. Saez. Optimal regularity for the pseudo infinity Laplacian. ESAIM. Control, Optimisation and Calculus of Variations. Vol. 13(2), 294-304, (2007). Click

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

29) J. García-Melián - J. D. Rossi - J. Sabina. Large solutions to the $p$-Laplacian for large~$p$. Calculus of Variations and Partial Differential Equations. Vol. 31(2), 187-204, (2008). Click

30) 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

31) F. Andreu - J. M. Mazon - J. D. Rossi - J. Toledo. The Neumann problem for nonlocal nonlinear diffusion equations. Journal of Evolution Equations. Vol. 8(1), 189-215, (2008). Click

32) D. G. de Figueiredo - I. Peral - J. D. Rossi. The critical hyperbola for a Hamiltonian elliptic system with weights. Annali di Matematica Pura ed Applicata. Vol. 187, 531-545, (2008). Click

33) F. Andreu - J. M. Mazon - J. D. Rossi - J. Toledo.  A nonlocal p-Laplacian evolution equation with Neumann boundary conditions. Journal de Mathematiques Pures et Appliquees. Vol. 90(2), 201-227, (2008).  Click

34) F. Charro - J. Garcia Azorero - J. D. Rossi. A mixed problem for the infinity laplacian via Tug-of-War games.  Calculus of Variations and Partial Differential Equations. Vol. 34(3), 307-320, (2009). Click

35) F. Andreu - J. M. Mazon - J. D. Rossi - J. Toledo. A  nonlocal  $p-$Laplacian evolution equation with non homogeneous Dirichlet boundary conditions. SIAM Journal on Mathematical Analysis. Vol. 40(5), 1815-1851, (2009).  Click

36) 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

 

 

 

                  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

24 de mayo de 2009/ May. 24th 2009.