The Dirichlet problem in half-space for elliptic equations with unbounded coefficients

J. H. Chabrowski

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 15-36
  • ISSN: 0041-8994

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Chabrowski, J. H.. "The Dirichlet problem in half-space for elliptic equations with unbounded coefficients." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 15-36. <http://eudml.org/doc/108057>.

@article{Chabrowski1987,
author = {Chabrowski, J. H.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {weak solutions; Dirichlet problem; regularity; uniformly elliptic; boundary data; singular coefficients; weighted -spaces; trace of weak solutions; existence; uniqueness},
language = {eng},
pages = {15-36},
publisher = {Seminario Matematico of the University of Padua},
title = {The Dirichlet problem in half-space for elliptic equations with unbounded coefficients},
url = {http://eudml.org/doc/108057},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Chabrowski, J. H.
TI - The Dirichlet problem in half-space for elliptic equations with unbounded coefficients
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 15
EP - 36
LA - eng
KW - weak solutions; Dirichlet problem; regularity; uniformly elliptic; boundary data; singular coefficients; weighted -spaces; trace of weak solutions; existence; uniqueness
UR - http://eudml.org/doc/108057
ER -

References

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  1. [1] G. Bottaro - M.E. Marina, Problemi di Dirichlet per equazioni ellittiche di tipo variazionale su insiemi non limitati, Boll. Un. Mat. Ital., (4) 8 (1983), pp. 46-56. Zbl0291.35021MR326148
  2. [2] J.H. Chabrowski - H.B. Thompson, On the boundary values of solutions of linear elliptic equations, Bull. Austral. Mat. Soc., 27 (1983), pp. 1-30. Zbl0518.35031MR696642
  3. [3] J.H. Chabrowski, Dirichlet problem for a linear elliptic equation in unbounded domains with L2-boundary data, Rend. Sem. Mat. Univ. Padova, 71 (1983), pp. 287-328. Zbl0557.35037MR769444
  4. [4] J.H. Chabrowski, On the Dirichlet problem for an elliptic equation with unbounded coefficients, Boll. Un. Mat. Ital., (6), 5-B (1986), pp. 71-91. Zbl0601.35025MR841618
  5. [5] E.B. Fabes - D.S. Jerison - C.E. Kenig, Necessary and sufficient conditions for absolute continuity elliptic-harmonic measure, Ann. of Math., (2), 119 (1984), pp. 121-141. Zbl0551.35024MR736563
  6. [6] A K. GUščIN - V.P. Mikhailov, On the boundary values in Lp (p &gt; 1) of solutions of elliptic equations, Mat. Sb., 108 (150) (1979), pp. 1-19. 
  7. [7] O.A. Ladyzhenskaja - N.N. Ural'tseva, Linear and quasilinear elliptic equations, Academic Press, New York-London, 1968. Zbl0164.13002MR244627
  8. [8] V.P. Mikhailov, On the boundary values of the solutions of elliptic equations, Appl. Mat. Optim., 6 (1980), pp. 193-199. Zbl0452.35040MR576259
  9. [9] Yu A. Mikhailov, Boundary values in Lp, &gt; 1, of solutions of second order elliptic equations, Differentsial'nye Uravnenija, 19 (2), pp. 318-337. Zbl0528.35040MR691072
  10. [10] S. Mizohata, The theory of partial differential equations, Cambridge University Press, Cambridge, 1973. Zbl0263.35001MR599580

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