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Global estimates for non-linear wave equations and linear wave equations with non-linear boundary constraints

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 564))

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References

  1. H. Brezis, Monotone operators, nonlinear semigroups and applications. Proceedings of the International Congress of Mathematicians, Vancouver 1974 Vol 2 p 249–255.

    MathSciNet  Google Scholar 

  2. R. N. Hills, R. J Knops, Qualitative results for a class of general materials. S.I.A.M. J. Applied Math (to appear).

    Google Scholar 

  3. 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).

    Google Scholar 

  4. 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.

    Article  MathSciNet  MATH  Google Scholar 

  5. 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).

    Google Scholar 

  6. 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.

    MathSciNet  Google Scholar 

  7. 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.

    Article  MathSciNet  MATH  Google Scholar 

  8. A. Majda, Disappearing solutions for the dissipative wave equation. Indiana Univ. Math. J. 24 1119–1133, (1975).

    Article  MathSciNet  MATH  Google Scholar 

  9. T. M. McKay, Review of "concavity" as applied to nonlinear evolutionary equations. M.Sc. thesis University of Dundee (1975).

    Google Scholar 

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Authors

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William N. Everitt Brian D. Sleeman

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© 1976 Springer-Verlag

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

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