Department Of Mathematics

Publications of Ioannis Athanasopoulos

Publications:

1.  Some Stability Properties of Coincidence Sets.Free Boundary Problems vol.2,
     37-43,Ist.Naz.Alta Mat.Fr.Severi,Rome (1980).
2.  Stability of Coincidence Set for the Signorini Problem.Ind.Univ.Math.J.vol.20,
     (1981),235-247.
3.  Regularity of the Solution of an Evolution Problem with Inequalities on the
     Boundary.Comm. P.D.E. 7 (12) (1982),1453-1465.
4.  Coincidence Set of Minimal Surfaces for the Thin Obstacle. Manusc. Math. 42 (1983),
     199-209.
5.  A Temperature Control Problem. Int. J. Math. & Math. Sci. 7 (1984),113-116.
6.  (with L.A. Caffarelli) A Theorem of Real Analysis and its Application to Free
     Boundary Problems. Comm. Pure Appl. Math. 38 (1985),499-502.
7.  Regularity of the Solution for Minimization Problems with Free Boundary on a
     Hyperplane. Comm. P.D.E. vol. 14 (1989),1043-1058.
8.  (with S.Salsa) An Application of a Parabolic Comparison Principle to Free
     Boundary Problems. Ind. Univ. Math. J. 40 (1991),29-32.
9.  (with L.A. Caffarelli and S.Salsa) Caloric Functions in Lipschitz Domains and the
     Regularity of Solutions to Phase Transition Problems. Annals of Mathematics, 143
     (1996),413-434.
10. (with L.A. Caffarelli and S.Salsa) Regularity of the Free Boundary in Parabolic
      Phase Transition Problems. Acta Mathematica, 176 (1996),245-282.
11. (with L.A. Caffarelli and S.Salsa) Degenerate Phase Transition Problems of
      Parabolic Type.Smoothness of the Front (University of Crete, Dept. of Math.
      Preprint #4, 1996)
12. (with L.A Caffarelli and S.Salsa) Phase Transition Problems of Parabolic Type:
       Flat Free Boundaries Are Smooth. Comm. on Pure Appl. Math. 51 (1998) 77-112.
13. (with G.Makrakis and J.F.Rodrigues) (eds) Free Boundary Problems:
      Theory and Applications.CRC press 1999.
14. (with L.A Caffarelli and S.Salsa) An Inverse Conductivity Problem ( in prep.).
15. The Behavior of Shock Waves in Conservation Laws ( in prep.).
16. (with J. Redondo ) Penalized Parabolic Variational Inequalities ( in prep.).
17. (with L.A. Caffarelli and S.Salsa) The Lipschitz Character of Flat Free Boundaries in
       Parabolic Phase Transition Problems ( in prep.).
18. (with L.A. Caffarelli and S.Salsa) Existence of Viscosity Solutions to Parabolic
       Phase Transition Problems ( in prep.).