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An application of the Nash-moser theorem to a free boundary problem

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 648))

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References

  1. R. Courant and K.O. Friedrichs, Supersonic flow and shock waves. Interscience, New York, 1948.

    MATH  Google Scholar 

  2. A. Douglas, "Some existence theorems for hyperbolic systems of partial differential equations in two independent variables", Comm. Pure Appl. Math. 5 (1952), pp. 119–154.

    Article  MathSciNet  Google Scholar 

  3. L. Hörmander, "The boundary problems of physical geodesy," Archive Rat. Mech. Anal. 62 (1976), pp. 1–52.

    Article  MATH  Google Scholar 

  4. J. Möser, "A new technique for the construction of solutions of non-linear differential equations", Proc. Nat. Acad. Sci. 47 (1961), pp. 1824–31.

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  5. J. Nash, "The embedding problem for Riemannian manifolds", Annals of Math. 63 (1956), pp. 20–63.

    Article  MathSciNet  MATH  Google Scholar 

  6. D. Schaeffer, "The capacitor problem", Indiana Math. J. 24 (1975), pp. 1143–1167.

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  7. D. Schaeffer, "A stability theorem for the obstacle problem", Advances in Math. 17 (1973), pp. 34–47.

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  8. D. Schaeffer, "Supersonic flow past a nearly straight wedge", Duke Math. J. 43 (1976), pp. 637–670.

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J.M. Chadam

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© 1978 Springer-Verlag

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Schaeffer, D.G. (1978). An application of the Nash-moser theorem to a free boundary problem. In: Chadam, J. (eds) Nonlinear Partial Differential Equations and Applications. Lecture Notes in Mathematics, vol 648. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066409

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  • DOI: https://doi.org/10.1007/BFb0066409

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08759-5

  • Online ISBN: 978-3-540-35868-8

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