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Galerkin methods for the existence and approximation of weak solutions of nonlinear dirichlet problems with discontinuities

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Part of the Lecture Notes in Mathematics book series (LNM,volume 556)

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References

  1. S. Agmon, Lectures on Elliptic Boundary Value Problems, Van Nostrand, Princeton, 1965.

    MATH  Google Scholar 

  2. J. P. Aubin, Approximation of Elliptic Boundary Value Problems, Wiley Interscience, 1972.

    Google Scholar 

  3. H. Brezis, Perturbation non linéaire d'opérateurs maximaux monotone, C. R. Acad. Sc. Paris 269(1969), 566–569.

    MathSciNet  MATH  Google Scholar 

  4. _____, Operateurs Maximaux Monotones et semi-groupes de contractions dans les especes de Hilbert, North Holland American Elsevier, Amsterdam and New York, 1973.

    MATH  Google Scholar 

  5. P. Ciarlet, M. Schultz and R. Varga, Numerical methods of high-order accuracy for nonlinear boundary value problems: V. Monotone operator theory, Numer. Math. 13(1969), 51–77.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. N. Dunford and J. Schwartz, Linear Operators, Part I, Wiley Interscience, 1957.

    Google Scholar 

  7. J. Jerome, Existence and approximation of weak solutions of non-linear Dirichlet problems with discontinuous coefficients, manuscript.

    Google Scholar 

  8. _____, Nonlinear equations of evolution and a generalized Stefan problem, manuscript.

    Google Scholar 

  9. _____, Asymptotic estimates of the n-widths in Hilbert space, Proc. Amer. Math. Soc. 33(1972), 367–372.

    MathSciNet  MATH  Google Scholar 

  10. J. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires, Dunod, Paris, 1969.

    MATH  Google Scholar 

  11. G. Strang and G. Fix, An Analysis of the Finite Element Method, Prentice-Hall, New York, 1973.

    MATH  Google Scholar 

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© 1976 Springer-Verlag

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Jerome, J.W. (1976). Galerkin methods for the existence and approximation of weak solutions of nonlinear dirichlet problems with discontinuities. In: Schaback, R., Scherer, K. (eds) Approximation Theory. Lecture Notes in Mathematics, vol 556. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087412

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  • DOI: https://doi.org/10.1007/BFb0087412

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08001-5

  • Online ISBN: 978-3-540-37552-4

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