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Transactions of the American Mathematical Society

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Energy inequalities for the solution of differential equations


Author: Milton Lees
Journal: Trans. Amer. Math. Soc. 94 (1960), 58-73
MSC: Primary 35.00
DOI: https://doi.org/10.1090/S0002-9947-1960-0114045-1
MathSciNet review: 0114045
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  • [1] R. Courant, K. O. Friedrichs and H. Lewy, Über die partiellen Differentialgleichungen der mathematischen Physik, Math. Ann. vol. 100 (1928) pp. 32-74. MR 1512478
  • [2] J. Douglas, Jr., On the relation between stability and convergence in the numerical solution of linear parabolic and hyperbolic differential equations, J. Soc. Indust. Appl. Math. vol. 3 (1955) pp. 42-65. MR 0080368 (18:236d)
  • [3] -, On the errors in analogue solutions of heat conduction problems, Quart. Appl. Math. vol. 14 (1956) pp. 333-335. MR 0088805 (19:583d)
  • [4] K. O. Friedrichs, Symmetric hyperbolic linear differential equations, Comm. Pure Appl. Math. vol. 7 (1954) pp. 345-392. MR 0062932 (16:44c)
  • [5] K. O. Friedrichs and H. Lewy, Über die Eindeutigkeit und das Abhängigkeitsgebiet der Lsosungen beim Anfangöwertproblem linearer hyperbolischer Differentialgleichungen, Math. Ann. vol. 98 (1927) pp. 192-204.
  • [6] F. John, On integration of parabolic equations by difference methods, Comm. Pure Appl. Math. vol. 5 (1952) pp. 155-270. MR 0047885 (13:947b)
  • [7] P. D. Lax and R. D. Richtmyer, Survey of the stability of linear finite difference equations, Comm. Pure Appl. Math. vol. 9 (1956) pp. 267-293. MR 0079204 (18:48c)
  • [8] O. Taussky, A recurring theorem on determinants, Amer. Math. Monthly vol. 55 (1949) pp. 672-676. MR 0032557 (11:307b)

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DOI: https://doi.org/10.1090/S0002-9947-1960-0114045-1
Article copyright: © Copyright 1960 American Mathematical Society

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