A Cauchy problem for the heat equation

Springer Science and Business Media LLC - Tập 66 - Trang 155-165 - 1964
J. R. Cannon1
1Brookhaven National Laboratory, Upton, L. I., New York

Tóm tắt

Let u(x, t) satisfy the heat equation in 0

Tài liệu tham khảo

Behnhe, H. andF. Sommer,Theorie der Analytischen Funktionen einer Komplexen Veränderlichen, Springer-Verlag, 1962, p. 128. Cannon, J. R.,A priori estimate for the continuation of the solution of the heat equation in the space variable, to appear. Carleman, T.,Fonctions Quasi Analytiques, Paris, Gauthier-Villars, 1926, pp. 3–5. Douglas, Jim, Jr.,Mathematical programming and integral equations, Symposium, Provisional International Computation Centre, Birkhauser Verlag, Basel, 1960. Pucci, Carlo,Alcune limitazioni per le soluzioni di equazioni paraboliche, Annali di Matematica pura ed applicata, Serie IV, Tomo XLVIII, 1959, pp. 161–172. Pucci, Carlo,Nuove ricerche sul problema di Cauchy, Memoria Acc. delle Scienze di Torino, 1954. Ginsberg, F.,On the Cauchy problem for the one-dimensional heat equation, Math. Comp. 17 (1963), 257–269.