The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. C. Dellacherie and P.-A. Meyer, Probabilités et potentiel, Hermann, Paris, 1975, 1980, 1983, 1987. MR 58 #7557, MR 82b:60001, MR 86b:60003, MR 88k:60002
  2. E. B. Dynkin, Superprocesses and partial differential equations, Ann. Probab. 21 (1993), 1185--1262. MR 94j:60156
  3. E. B. Dynkin, Stochastic boundary values and boundary singularities for solutions of the equation L u=u^alpha, J. Functional Analysis 153 (1998), 147--186. MR 98m:60125
  4. E. B. Dynkin and S. E. Kuznetsov, Linear additive functionals of superdiffusions and related nonlinear p.d.e., Trans. Amer. Math. Soc. 348 (1996), 1959--1987. MR 97d:60135
  5. E. B. Dynkin and S. E. Kuznetsov, Solutions of L u=u^alpha dominated by L-harmonic functions, Journale d'Analyse Mathematique 68 (1996), 15--37. MR 97f:35048
  6. E. B. Dynkin and S. E. Kuznetsov, Superdiffusions and removable singularities for quasilinear partial differential equations, Comm. Pure & Appl. Math 49 (1996), 125--176. MR 97m:60114
  7. E. B. Dynkin and S. E. Kuznetsov, Fine topology and fine trace on the boundary associated with a class of quasilinear differential equations, Comm. Pure & Appl. Math. 51 (1998), 897--936. MR 99f:35046
  8. E. B. Dynkin and S. E. Kuznetsov, Solutions of nonlinear differential equations on a {R}iemannian manifold and their trace on the Martin boundary, Transact. Amer. Math. Soc. 350 (1998), 4521--4552. MR 99c:60168c
  9. E. B. Dynkin and S. E. Kuznetsov, Trace on the boundary for solutions of nonlinear differential equations, Transact. Amer. Math. Soc. 350 (1998), 4499--4519. MR 99a:60084
  10. A. Gmira and L. Veron, Boundary singularities of solutions of some nonlinear elliptic equations, Duke Math.J. 64 (1991), 271--324. MR 93a:35053
  11. S. E. Kuznetsov, sigma-moderate solutions of Lu=u^alpha and fine trace on the boundary, C. R. Acad. Sci. Paris, Serie I, 326 (1998), 1189--1194. MR 99g:35032
  12. J.-F. Le Gall, Solutions positives de Delta u=u^2 dans le disque unité, C.R. Acad. Sci. Paris, Serie I, 317 (1993), 873--878. MR 94h:35059
  13. J.-F. Le Gall, A probabilistic approach to the trace at the boundary for solutions of a semilinear parabolic differential equation, J. Appl.Math. Stochast. Analysis 9 (1996), 399--414. MR 97m:35125
  14. J.-F. Le Gall, A probabilistic Poisson representation for positive solutions of Delta u = u^2 in a planar domain}}, Comm. Pure & Appl Math. (1997), 69--103. MR 98c:60144
  15. M. Marcus and L. Veron, Trace au bord des solutions positives d'équations elliptiques non linéaires}, C.R. Acad.Sci Paris, Serie I, 321 (1995), 179--184. MR 96f:35045
  16. M. Marcus and L. Veron, Trace au bord des solutions positives d'équations elliptiques et paraboliques non linéaires. Resultats d'existence and d'unicité, C.R. Acad.Sci Paris, Serie I, 323 (1996), 603--608. MR 97f:35012
  17. M. Marcus and L. Veron, The boundary trace of positive solutions of semilinear elliptic equations, I: The subcritical case, Arch. Rat. Mech. Anal. 144 (1998), 201--231. MR 2000a:35077
  18. M. Marcus and L. Veron, The boundary trace of positive solutions of semilinear elliptic equations: The supercritical case, J. Math. Pures Appl. 77 (1998), 481--524. MR 99g:35045


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.