Keywords
- Cauchy Problem
- Fundamental Solution
- Heat Equation
- Uniqueness Theorem
- Evolution Operator
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References
A. Friedman, Generalized functions and partial differential, equations. Prentice Hall, New York, 1962.
I. M. Gelfand and G. E. Shilov, Generalized functions, Vol. 3: Theory of differential equations. Moscow 1958, (Russian), Academic Press, New York, 1967.
L. Hörmander, Linear partial differential operators. Springer Verlag 1963.
-, Null solutions of partial differential equations. Arch. Rational Mech. Anal. 4, 255–261 (1960).
-L. Hörmander, On the characteristic Cauchy problem. To appear in Ann. of Math.
J. Leray and Y. Ohya, Systemes lineaires, hyperboliques non stricts. Seminaire sur les equations aux derivees partielles, College de France 1964, 20–71.
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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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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