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Sather, D.; Sather, J.

The Cauchy problem for an elliptic parabolic operator. (English) Zbl 0175.39705

Ann. Mat. Pura Appl., IV. Ser. 80, 197-214 (1968).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Keywords:

partial differential equations
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References:

[1] Aronszajn, N.; Smith, K. T., Theory of Bessel Potentials, Part I, Ann. Inst. Fourier, 11, 385-475 (1961) · Zbl 0102.32401
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[3] F. John,Numerical solution of problems which are not well posed in the sense of Hadamard Symposium on the Numerical Treatment of Partial Differential Equations wiht Real Characteristics, pp. 103-116, Provisional International Computation Centre, Rome, 1959
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[5] Paley, R. E. A. C.; Wiener, N., Fourier Transforms in the Complex Domain (1934), New York: American Mathematical Society, New York · JFM 60.0345.02
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[8] Pucci, C., Discussione del problema di Cauchy per le equazioni di tipo ellittico, Ann. Mat Pura Appl., 46, 131-153 (1958) · Zbl 0092.10001 · doi:10.1007/BF02412913
[9] E. C. Titchmarsh,Theory of Fourier Integrals, Oxford University Press, 1948.
[10] G. N. Watson,Theory of Bessel Functions, Cambridge University Press, 1944. · Zbl 0063.08184
[11] Zimmerman, J. M., Band limited functions and improper boundary value problems for a class of non-linear partial differential equations, J. Math. Mech., 11, 183-196 (1962) · Zbl 0103.06301
[12] K. T. Smith,The Fourier transform of the convolution |x |^α-n *g, Tech. Summary Rep. No. 203, Mathematics Research Center, U.S. Army, Univ. of Wisconsin, Madison, Wisc. (1960).
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