J. Chabrowski, Gary Lieberman, On the Dirichlet Problem with L^2 Boundary Values in a Half-Space, Indiana Univ. Math. J. 35 (1986), 623-642


L2 Boundary Values in a Half–Space

Abstract

pdf version of the abstract

References

[1] Gianfranco Bottaro and Maria Erminia Marina, Problema di Dirichlet per equazioni ellittiche di tipo variazionale su insiemi non limitati, Boll. Un. Mat. Ital. (4), 8 (1973), pp. 46–56. MathSciNet. Zentralblatt für Mathematik.

[2] J. Chabrowski, Dirichlet problem for a linear elliptic equation in unbounded domains with L2-boundary data, Rend. Sem. Mat. Univ. Padova, 71 (1984), pp. 1–42.

[3] J. Chabrowski, The Dirichlet problem in half-space for elliptic equations with unbounded coefficients, University of Queensland (preprint).

[4] Björn E. J. Dahlberg, On the absolute continuity of elliptic measures, Amer. J. Math., 108, No. 5 (1986), pp. 1119–1138. MathSciNet. Zentralblatt für Mathematik.

[5] Eugene B. Fabes, David S. Jerison, and Carlos E. Kenig, Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure, Ann. of Math. (2), 119, No. 1 (1984), pp. 121–141. MathSciNet. Zentralblatt für Mathematik.

[6] Herbert Federer and Wendell H. Fleming, Normal and integral currents, Ann. of Math. (2), 72 (1960), pp. 458–520. MathSciNet. Zentralblatt für Mathematik.

[7] David Gilbarg and Lars Hörmander, Intermediate Schauder estimates, Arch. Rational Mech. Anal., 74, No. 4 (1980), pp. 297–318. CrossRef. MathSciNet. Zentralblatt für Mathematik.

[8] G. G. Lorentz, Approximation of functions, Holt, Rinehart and Winston, New York, 1966, p. ix+188. MathSciNet. Zentralblatt für Mathematik.

[9] Emanuel Sperner, Jr., Schauder's existence theorem for α-Dini continuous data, Ark. Mat., 19, No. 2 (1981), pp. 193–216. MathSciNet. Zentralblatt für Mathematik.

[10] Guido Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier (Grenoble), 15, No. fasc. 1 (1965), pp. 189–258. MathSciNet. Zentralblatt für Mathematik.

To read this abstract...
IE 6.0 Strictly conforms to W3C stylesheets
IE 5.5 Download Math Player in order to render MathML; does not conform to W3C stylesheets
Mozilla 1.0 Strictly conforms to W3C stylesheets
Netscape 7.0 Install fonts in order to render MathML

Valid XHTML 1.0!