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Strongly damped semilinear second order equations

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Nonlinear Semigroups, Partial Differential Equations and Attractors

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1248))

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References

  1. P. Aviles, J. Sandefur: Nonlinear second order equations with applications to partial differential equations, Journal of Differential Equations, Vol.58, No.3 (1985), 404–427.

    Article  MathSciNet  MATH  Google Scholar 

  2. H.Engler: Existence of regular solutions for semilinear parabolic integro-differential equations, Ann. Mat. Pura Appl. (to appear).

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  3. W.E. Fitzgibbon: Strongly damped quasilinear evolution equations, Journal of Mathematical Analysis and Applications 79 (1981), 536–550.

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  4. D. Fujiwara: On the asymptotic behavior of the Green operators for elliptic boundary problems and the pure imaginary powers of some second order operators, J.Math.Soc.Japan 21 (1969), 481–522.

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  5. J.A.Goldstein: Semigroups of Linear Operators and Applications, Oxford University Press, 1985.

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  6. F.Neubrander: Well-posedness of higher order abstract Cauchy problems, Transactions AMS (to appear).

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  7. A.Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, 1983.

    Google Scholar 

  8. J. Sandefur: Existence and Uniqueness of solutions of second order nonlinear differential equations, SIAM J.Math.Anal.14 (1983), 477–487.

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  9. R. Seeley: Interpolation in Lp with boundary conditions. Studia Math.44 (1972), 47–60.

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Authors

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Tepper L. Gill Woodford W. Zachary

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© 1987 Springer-Verlag

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Engler, H., Neubrander, F., Sandefur, J. (1987). Strongly damped semilinear second order equations. In: Gill, T.L., Zachary, W.W. (eds) Nonlinear Semigroups, Partial Differential Equations and Attractors. Lecture Notes in Mathematics, vol 1248. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077415

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  • DOI: https://doi.org/10.1007/BFb0077415

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17741-8

  • Online ISBN: 978-3-540-47791-4

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