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References
H. Brezis, Monotone operators, nonlinear semigroups and applications. Proceedings of the International Congress of Mathematicians, Vancouver 1974 Vol 2 p 249–255.
R. N. Hills, R. J Knops, Qualitative results for a class of general materials. S.I.A.M. J. Applied Math (to appear).
A. S. Kalashnikov, Propagation of disturbances in problems of non-linear heat conduction with absorption. U.S.S.R. Comp. Maths. and Math. Phys 14. 4. (1974).
R. J. Knops, H. A. Levine, L. E. Payne, Nonexistence instability and growth theorems for solutions to an abstract nonlinear equation with applications to elastodynamics. Arch. Rat. Mech. Anal. 55 (1974) 52–72.
R. J. Knops, B. Straughan, Nonexistence of global solutions to nonlinear Cauchy problems arising in mechanics. Univ. of Lecce (1975) symposium on trends of applications of pure mathematics to mechanics (to appear).
H. A. Levine, Instability and nonexistence of global solutions to nonlinear wave equations of the form Putt =-Au + F(u). Trans. Amer. Math. Soc. 192 (1974) 1–21.
H. A. Levine, L. E. Payne, Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time. J. Diff. Equations 16 (1974) 319–334.
A. Majda, Disappearing solutions for the dissipative wave equation. Indiana Univ. Math. J. 24 1119–1133, (1975).
T. M. McKay, Review of "concavity" as applied to nonlinear evolutionary equations. M.Sc. thesis University of Dundee (1975).
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Sleeman, B.D. (1976). Global estimates for non-linear wave equations and linear wave equations with non-linear boundary constraints. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087362
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DOI: https://doi.org/10.1007/BFb0087362
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