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Smooth solutions of the heat and wave equations

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Commentarii Mathematici Helvetici

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References

  1. Arnold, V. I.,Small denominators I, Translations A.M.S., Prov., R.I., 2e series,46, 213–284.

  2. Friedman, A.,Partial Differential Equations of Parabolic type, Englewood Cliffs, N. J., Prentice Hall, 1964.

    MATH  Google Scholar 

  3. —,Partial Differential Equation, New York, Holt, Rinehart and Winston, Inc., 1969.

    Google Scholar 

  4. John, F.,The Dirichlet problem for a hyperbolic equation, Amer. Jour. Math.63 (1941), 141–154.

    Article  MATH  Google Scholar 

  5. Ladyženskaja, O., Solonnikov, V., andUral'ceva, N.,Linear and Quasi-linear Equations of Parabolic Type, Vol. 23, Translations of Mathematical Monographs, A.M.S., Prov., R. I., 1968.

    Google Scholar 

  6. Lang, S.,Analysis II, Addison-Wesley, Reading, Mass., 1969.

    MATH  Google Scholar 

  7. Lax, P. andMilgram, A. Parabolic Equations in Contributions to the theory of Partial Differential Equations (Ed. by Bers, Bochner, John) Annals of Math. Studies #33, Princeton, 1954.

  8. Lions, J. L.,Equations Differentielles Operationnelles, Springer, Berlin, 1961.

    MATH  Google Scholar 

  9. Rauch, J. andMassey, F.,Differentiability of solutions to Hyperbolic Initial-Boundary Value Problems, Trans. of A.M.S.189 (1974), 303–318.

    Article  MATH  MathSciNet  Google Scholar 

  10. Treves, F.,Basic Linear Partial Differential Equations Academic Press, New York, 1975.

    MATH  Google Scholar 

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Smale, S. Smooth solutions of the heat and wave equations. Commentarii Mathematici Helvetici 55, 1–12 (1980). https://doi.org/10.1007/BF02566671

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