Abstract
The first explicit encounter with the notion of fundamental solution takes place in this chapter and the classical Malgrange-Ehrenpreis theorem is presented.
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References
L. Ehrenpreis, Solution of some problems of division. I. Division by a polynomial of derivation, Amer. J. Math. 76, (1954).
L. Hörmander, On the division of distributions by polynomials, Ark. Mat., 3 (1958), 555–568.
S. Lojasiewicz, Division d’une distribution par une fonction analytique de variables réelles, C. R. Acad. Sci. Paris, 246 (1958), 683–686.
B. Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, (French) Ann. Inst. Fourier, Grenoble 6 (1955–1956), p. 271–355.
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Mitrea, D. (2013). The Concept of a Fundamental Solution. In: Distributions, Partial Differential Equations, and Harmonic Analysis. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8208-6_5
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DOI: https://doi.org/10.1007/978-1-4614-8208-6_5
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