Bibliography
Carroll, R., Abstract Methods in Partial Differential Equations, New York: Harper & Row 1969.
Courant, R., & D. Hilbert, Methods of Mathematical Physics, vol. II, New York: John Wiley & Sons (Interscience) 1962.
Friedman, A., Partial Differential Equations of Parabolic Type. Englewood-Cliffs, New Jersey: Prentice-Hall 1964.
Günter, N., Potentialtheorie, Leipzig: B. G. Teubner 1957.
Hadamard, J., Lectures on Cauchy's Problem in Linear Partial Differential Equation, New York: Dover Publications 1952.
Hörmander, L., Linear Partial Differential Operators, Berlin-Göttingen-Heidelberg: Springer 1963.
Il'in, V. A., On the solvability of mixed problems for hyperbolic and parabolic equations, translated from Uspehi Mat. Nauk 15 (2), 97–154 (1960) as Russian Math. Surveys 15 (2), 85–142 (1960).
John, F., Solutions of second order hyperbolic differential equations with constant coefficients in a domain with a plane boundary, Comm. Pure and Appl. Math. 7, 245–269 (1954).
John, F., Differential equations with approximate and improper data, N.Y.U. lecture notes, 1954–1955, no. 44.
Kellogg, O. D., Foundations of Potential Theory, New York: Dover Publications 1953.
Kreiss, H. O., Initial boundary value problems for hyperbolic systems, Comm. Pure Appl. Math. 23, 277–298 (1970).
Ladyzhenskaya, O. A., The mixed problem for hyperbolic equations, Gostekhizdat. Moscow 1953 (in Russian).
Müntz, Ch. H., Zum dynamischen Wärmeleitungsproblem, Math. Z. 38, 323–337 (1933).
Ralston, J. V., Note on a paper of Kreiss, Comm. Pure Appl. Math. 24 (6), 759–762 (1971).
Rosenbloom, P. C., The linearized theory of supersonic flow about a thin airfoil. Proc. Third Midwestern Conference on Fluid Mechanics, University of Minnesota, 1953.
Slobodetski, L. N., The theory of potentials for parabolic equations, Doklady Akad. Nauk SSSR 103, 19–22 (1955) (in Russian).
Tychonoff, A., Sur l'équation de la chaleur à plusieurs variables, Vull, Univ. Etat. Moscow, Ser. Int., Sect. A. Math. Mécan. No. 1, 1–44 (1938).
Wendland, W., Die Behandlung von Randwertaufgaben im R3 mit Hilfe von Einfach- und Doppelschichtpotentialen, Numerische Mathematik 11, 380–404 (1968).
Author information
Authors and Affiliations
Additional information
Communicated by L. Collatz
Rights and permissions
About this article
Cite this article
Fulks, W., Guenther, R.B. Hyperbolic potential theory. Arch. Rational Mech. Anal. 49, 79–88 (1972). https://doi.org/10.1007/BF00281411
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00281411