Dirichlet problem for parabolic equations with continuous coefficients

Julio E. Bouillet

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1976)

  • Volume: 3, Issue: 3, page 405-441
  • ISSN: 0391-173X

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Bouillet, Julio E.. "Dirichlet problem for parabolic equations with continuous coefficients." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 3.3 (1976): 405-441. <http://eudml.org/doc/83726>.

@article{Bouillet1976,
author = {Bouillet, Julio E.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {3},
pages = {405-441},
publisher = {Scuola normale superiore},
title = {Dirichlet problem for parabolic equations with continuous coefficients},
url = {http://eudml.org/doc/83726},
volume = {3},
year = {1976},
}

TY - JOUR
AU - Bouillet, Julio E.
TI - Dirichlet problem for parabolic equations with continuous coefficients
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1976
PB - Scuola normale superiore
VL - 3
IS - 3
SP - 405
EP - 441
LA - eng
UR - http://eudml.org/doc/83726
ER -

References

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  1. [1] S. Agmon - A. Douglis - L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, Communications on Pure and Applied Mathematics, 12, no. 4 (1959). Zbl0093.10401MR125307
  2. [2] E.B. Pabes, Singular integrals and partial differential equations of parabolic type, Studia Mathematica, 28 (1966). Zbl0144.35002MR213744
  3. [3] E.B. Fabes - M. JodeitJr., LP-boundary value problems for parabolic equations, Bulletin A.M.S., 74, no. 6 (1968). Also Singular integrals and boundary value problems for parabolic equations in a half-space, University of Minnesota. Zbl0174.42202MR233081
  4. [4] E.B. Fabes - N.M. Rivière, Systems of parabolic equations with uniformly continuous coefficients, Journal d'Analyse Mathématique, 17 (1966). Zbl0144.35203MR216137
  5. [5] E.B. Fabes - N.M. Rivière, LP-estimates near the boundary for solutions of the Dirichlet problem, Annali della Scuola Normale Superiore, Pisa, 24, fasc. III (1970). Zbl0207.10503MR287142
  6. [6] E.B. Fabes, Singular integrals and their applications to the Cauchy and Cauchy-Dirichlet problems for parabolic equations, Notes from a course given at the Istituto Matematico, Università di Ferrara, Italia, 1970. 
  7. [7] A. Friedman, Partial Differential Equations of Parabolic Type, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1964. Zbl0144.34903MR181836
  8. [8] G.H. Hardy - J.E. Littlewood - G. Pölya, Inequalities, Cambridge at the University Press, 1952. Zbl0047.05302MR46395
  9. [9] E.M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton University Press, 1970. Zbl0207.13501MR290095
  10. [10] V.A. Solonnikov, On boundary value problems for linear parabolic systems of differential equations of a general type (Russian), Trudy Matematicheskogo Instituta Akademii Nauk (Steklov), 83, Leningrad, 1965. Zbl0164.12502MR211083
  11. [11] E. Gagliardo, Proprietà di alcune classi di funzioni di più variabili, Ricerche di Matematica, 7 (1958). Zbl0089.09401MR102740
  12. [12] W. Pogorzelski, Étude de la matrice des solutions fondamentales du système parabolique d'équations aux dérivées partielles, Ricerche di Matematica, 7 (2) (1958). Zbl0085.30903MR105561

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