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The Cauchy problem for differential equations with constant coefficients

Topological Linear Spaces and Applications

Part of the Lecture Notes in Mathematics book series (LNM,volume 103)

Keywords

  • Cauchy Problem
  • Fundamental Solution
  • Heat Equation
  • Uniqueness Theorem
  • Evolution Operator

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References

  1. A. Friedman, Generalized functions and partial differential, equations. Prentice Hall, New York, 1962.

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  2. I. M. Gelfand and G. E. Shilov, Generalized functions, Vol. 3: Theory of differential equations. Moscow 1958, (Russian), Academic Press, New York, 1967.

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  3. L. Hörmander, Linear partial differential operators. Springer Verlag 1963.

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  4. -, Null solutions of partial differential equations. Arch. Rational Mech. Anal. 4, 255–261 (1960).

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  5. -L. Hörmander, On the characteristic Cauchy problem. To appear in Ann. of Math.

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  6. J. Leray and Y. Ohya, Systemes lineaires, hyperboliques non stricts. Seminaire sur les equations aux derivees partielles, College de France 1964, 20–71.

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  7. S. Täcklind, Sur les classes quasianalytiques des solutions des equations aux derivees partielles du type parabolique Nova Acta Soc. Sci. Upsaliensis (4), 10, 1–57 (1936).

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© 1969 Springer-Verlag

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Hörmander, L. (1969). The Cauchy problem for differential equations with constant coefficients. In: Taam, C.T. (eds) Lectures in Modern Analysis and Applications I. Lecture Notes in Mathematics, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099985

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  • DOI: https://doi.org/10.1007/BFb0099985

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04622-6

  • Online ISBN: 978-3-540-36145-9

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