Publicaciones de Carmen Cortázar:
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C. Cortázar, M. Elgueta, R. Macías. A strong 1-1weighted
norm inequality for fractional integral operators. Revista Notas de
la Sociedad de Matemática de Chile, Vol. 2, No. 2, (1982).
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C. Cortázar, The application of dissipative operators
to nonlinear diffusion equations. Journal of Diff. Eq., Vol. 47 (1983),
1-23.
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C. Cortázar, M. Elgueta. The asymptotic behaviour of the
solution of a nonlinear diffusion equation. S.I.A.M., Journal of Math.
Analysis, Vol. 16, No. 2, (1985), 251-258.
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C. Cortázar, M. Elgueta, Existence of generalized solutions
of nonlinear diffusion Cauchy problem, S.I.A.M. Journal of Math. Analysis,
Vol. 18, No. 5(1987) 1385-1393.
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C. Cortázar, M.Elgueta, Large time behaviour of solutions
of a nonlinear reaction-diffusion equation, Houston Journal of Math.,
Vol. 13, No. 4 (1987) 487-497.
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C. Cortázar, M. Elgueta, Sobre localización de
soluciones de la ecuación de medios porosos, Cuadernos del Instituto
de Matemática ``Beppo Levi", Rosario, Argetina (1988).
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C. Cortázar, M. Elgueta, Localization and boundedness
of the solutions of the Neumann problem for a filtration equation,
Nonlinear Analysis T.M. & A., Vol. 13, (1989), 33-41.
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C. Cortázar, M. Elgueta, Taxonometric division of convex
sets, Notas Sociedad de Matemática de Chile, Vol. 8, No. 1 (1989)
21-26.
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C. Cortázar, M. Elgueta, A monotonicity result related
to a parabolic inverse problem, Inverse Problems, Vol. 6, No. 4 (1990)
515-521.
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C. Cortázar, M. Elgueta, Unstability of the steady solution
of a nonlinear reaction diffusion equation, Houston Journal of Math.,
17(1), (1991) 149-155.
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C. Cortázar, M. Elgueta, J.L. Vásquez, Diffusivity
determination in non linear diffusion. Eur. Journal of Appl. Math.
Vol. No. 2 (1991) 156-169.
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Ph. Benilan, C. Cortázar, M.Elgueta, Uniqueness
and non uniqueness of the solutions of a mixed boundary value problem for
the porous medium equation . Revista de la Unión Matemática
Argentina. Vol. 37, (1991) 10-15.
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C. Cortázar, M. Elgueta, P. Felmer, Existence of signed
solutions for a semilinear elliptic boundary value problem. Differ.
Integral Equ.7(1)(1994) 293-299.
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C. Cortázar, M. Elgueta, How long does it take for a gas
to fill a porous container?. Proceedings of the A.M.S. 122,(1994)449-459.
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C. Cortázar, M. Elgueta, M. Primicerio, Localization of
the solution of a one-dimensional one-phase Stefan problem. Rend.Ist.Mat.Univ.Trieste
28 (1-2) (1996)71-82.
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C. Cortázar, M. Elgueta, P. Felmer, On a semilinear elliptic
problem in
with
a non-Lipschitzian non-linearity. Adv. in Diff. Eq., Vol. 1, No. 2,
(1996),199-218.
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C. Cortázar, M. Elgueta, P. Felmer, Symmetry in an elliptic
problem and the blow-up set of a quasilinear heat equation.Commun.
in P.D.E.,21 (1996)507-520.
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C. Cortázar, M. del Pino, M.Elgueta, On the short-time
behavior of the free boundary of a porous medium eqution.Duke Math.J.,87(1997)133-149.
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C. Cortázar, M.Elgueta, P. Felmer, Uniqueness of positive
solutions of
in
,
". Arch.RationalMech.Anal.142(1998)127-141.
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C. Cortázar, M.Elgueta, P. Felmer, Some uniqueness results
for
in
,
. Reaction diffusion systems.Lecture Notes Pure Appl Math 194 .Marcel Dekker.
(1998).
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C. Cortázar, M. del Pino, M.Elgueta, On the blow-up set
for
. Indiana Univ. Journal.47(1998)541-561.
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C.Cortázar, M.Elgueta, J. Rossi, Uniqueness and non-uniqueness
for a system of heat equation with non-linear coupling at the boundary.
Journal of Nonlinear Analysis.27(1999)257-267.
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C. Cortázar, M. del Pino, M.Elgueta, The problem of uniqueness
of the limit in a semilinear heat equation. Commun. in P.D.E.,24 (1999)
2147-2172.
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C. Cortázar, M. del Pino, M.Elgueta, Description of regional
blow-up in a porous-medium equation. Proceedings of the 2001 Luminy
Conference on Quasilinear Elliptic and Parabolic Equations and System,
85--101 (electronic), Electron. J. Differ. Equ. Conf., 8, Southwest Texas
State Univ., San Marcos, TX, 2002.
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C. Cortázar, M. del Pino, M.Elgueta, Uniqueness
and stability of regional blow-up in a porous-medium equation. Ann.
Inst. H. Poincaré Anal. Non Linéaire 19 (2002), no. 6, 927--960.
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C. Cortázar, M.Elgueta, J, Rossi, Short time
behavior near the boundary for the heat equation with a nonlinear boundary
condition. Nonlinear Anal. 50 (2002), no. 2, Ser. A: Theory Methods,
205--213.
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C. Cortázar, M.Elgueta, J, Rossi, Uniqueness
and non-uniqueness for the porous medium equation with a nonlinear boundary
condition.Differ. Integral Equ.,16, (2003),1215-1222.
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M. Chuaqui, C. Cortázar, M. Elgueta, C. Flores J.García-Melían,
R. Letelier On an elliptic problem with boundary blow-up and singular
weight: the radial case. Proc. Roy. Soc. Edinburgh Sect. A.,133 N°6,(2003),1283-1297.
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C. Cortázar , M.Elgueta, O.Venegas On the blow-up set
for u_t=(u^m)_{xx} with nonlinear boundary conditions. Monatsh.Math.,142
N° 1-2,(2004) ,45-56.
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M. Chuaqui, C. Cortázar, M. Elgueta, J.García-Melían,Uniqueness
and boundary behavior of large solutions to elliptic problems with singular
weighs. Commun. Pure Appl.Anal.,3 N° 4,(2004), 653-662.
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C. Cortázar, M.Elgueta, J, Rossi,.A non-local diffusion
equationwhose solutions develop a free boundary Aceptado (9-2004)Annales
Henri Poincaré.
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C. Cortázar,M.Garcia-huidobro.On the uniqueness of ground
state solutions of a semilinear equation containing a weighted laplatian.
Aceptado Commun. Pure Appl. Anal..