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Some remarks on a wave equation with a nonlocal interaction

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Part of the Lecture Notes in Mathematics book series (LNM,volume 957)

Keywords

  • Initial Data
  • Wave Equation
  • Weak Solution
  • Nonlinear Wave Equation
  • Maximal Interval

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References

  1. Glassey, R.T.; Blow-up theorems for nonlinear wave equations, Math. Z. 132, 183–203, (1973).

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  2. Perla Menzala, G. On regular solutions of a nonlinear equation of Choquard’s type, Proc. Royal Soc. Edinburgh 86 A, 291–301 (1980).

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  3. Perla Menzala, G. and Strauss, W.A. On a wave equation with a cubic convolution, J. of Differential equations, (to appear).

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  4. Perla Menzala, G., On a semilinear wave equation: The Cauchy problem and the asymptotic behavior of solutions, J. Math. Analy. Appl. (to appear).

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  5. Strauss, W.A., Nonlinear invariant wave equations, Lecture Notes in Physics, Vol. 73, Edited by G. Velo and A. Wightman, 197–249, Springer-Verlag (1978).

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  6. Strauss, W.A., Nonlinear scattering at low energy, J. of Functional Analy. 41, 1, 110–133 (1981).

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© 1982 Springer-Verlag

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Menzala, G.P. (1982). Some remarks on a wave equation with a nonlocal interaction. In: Guedes de Figueiredo, D., Hönig, C.S. (eds) Differential Equations. Lecture Notes in Mathematics, vol 957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066241

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  • DOI: https://doi.org/10.1007/BFb0066241

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11951-7

  • Online ISBN: 978-3-540-39539-3

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