L p -estimates near the boundary for solutions of the Dirichlet problem

E. B. Fabes; N. M. Riviere

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1970)

  • Volume: 24, Issue: 3, page 491-553
  • ISSN: 0391-173X

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Fabes, E. B., and Riviere, N. M.. "$L^p$-estimates near the boundary for solutions of the Dirichlet problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 24.3 (1970): 491-553. <http://eudml.org/doc/83537>.

@article{Fabes1970,
author = {Fabes, E. B., Riviere, N. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3},
pages = {491-553},
publisher = {Scuola normale superiore},
title = {$L^p$-estimates near the boundary for solutions of the Dirichlet problem},
url = {http://eudml.org/doc/83537},
volume = {24},
year = {1970},
}

TY - JOUR
AU - Fabes, E. B.
AU - Riviere, N. M.
TI - $L^p$-estimates near the boundary for solutions of the Dirichlet problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1970
PB - Scuola normale superiore
VL - 24
IS - 3
SP - 491
EP - 553
LA - eng
UR - http://eudml.org/doc/83537
ER -

References

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  1. [1] S. Agmon, Maximum theorems for solutions of higher order elliptic equations, Bulletin of the A. M. S., Vol. 66, No. 2, March 1960. Zbl0091.27301MR124618
  2. [2] S. Agmon, A. Douglis, L. Nirenberg, Estimates, near the boundary for solutions of elliptio partial differential equations satisfying general boundary conditions, Communications on Pure and Applied Mathematics, Vol. XII, 1969. 
  3. [3] E.B. Fabes, Singular integrals and partial differential equations of parabolic type, Studia Mathematica, XXVII, 1966 Zbl0144.35002MR213744
  4. [4] E.B. Fabes, N.M. Riviere, Systems of parabolic equations with uniformly continuous coefficients, Journal D'Analyse Mathematique, XVII, 1966. Zbl0144.35203MR216137
  5. [5] E.B. Fabes, M. Jodeit, Jr., LP-Boundary value problems for parabolic equations, Bulletin of the A. M. S., Vol. 74, No. 6, Nov. 1968. (Proofs given in a University of Minnesota report entitled Singular integrals and boundary-value Problems for parabolic equations in a half-space. Zbl0174.42202MR233081
  6. [6] E.B. Fabes, M. Jodeit, Jr., Boundary value problems for second order parabolic equations, A. M. S. Proceedings of Symposia in Pure Mathematics, Vol. X, Singular Integrals, 1967. Zbl0157.41701MR377237
  7. [7] A. Friedman, Partial differential equations of parabolic type, Prentice Hall, Englewood Cliffs, N. J., 1966. Zbl0144.34903MR181836
  8. [8] M. Jodeit, Jr., Symbols of parabolic singular integrals, A. M. S. Procedings of Symposia in Pure Mathematics, Vol. X, Singular Integrals, 1967. Zbl0169.45702MR235261
  9. [9] W. Pogorzelski, Étude de la matrice des solutions fondamentales du système parabolique d'équations aux dérivées partielles, Ricerche Matematica7, 1958. Zbl0085.30903MR105561
  10. [10] V.A. Solonnikov, On boundary value problems for linear parabolic system of differential equations of general type (Russian), Trudy Mathematical Institute (Steklov), LXXXIII, 1965. English translation by the A. M. S. entitled, Boundary value problems of mathematical physics III. edited by O. A. Ladyzenskaja, 1967. Zbl0164.12502MR211083
  11. [11] A. Zygmund, Trigonometric Series, Vos. I, II, 1959. 

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