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Initial-boundary value problems and moving boundaries

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Analytic Theory of Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 183))

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References

  1. N. Balazs, On the solution of the wave equation with moving boundaries, J. Math. Anal. Appl. 3 (1961), 472–484.

    Article  MATH  Google Scholar 

  2. H.P. Greenspan, A string problem, J. Math. Anal. Appl. 6 (1963), 339–348.

    Article  MathSciNet  MATH  Google Scholar 

  3. G.F.D. Duff, A mixed problem for normal linear hyperbolic partial differential equations of second order, Canad. J. Math. 9 (1957), 141–160.

    Article  MathSciNet  MATH  Google Scholar 

  4. G.F.D. Duff, Mixed problems for hyperbolic equations of general order, Canad. J. Math. 11 (1959), 195–221.

    Article  MathSciNet  MATH  Google Scholar 

  5. L. Gårding, Lie problème de Goursat pour l'équation des ondes, Proc. XI Scand. Math. Congress, Trondheim, 1949.

    Google Scholar 

  6. K.M. Lee, A mixed problem for hyperbolic equations with time-dependent domain, J. Math. Anal. Appl. 16 (1966), 455–471.

    Article  MathSciNet  MATH  Google Scholar 

  7. C. Morawetz, Energy decay for star-shaped obstacles, Appendix 3 of Scattering Theory by P. Lax and R.S. Phillips, Academic Press, New York, 1967.

    Google Scholar 

  8. M.H. Protter, A boundary value problem for the wave equation and mean value theorems, Ann. Math. Studies, No. 33, 1954.

    Google Scholar 

  9. E.D. Rogak, A mixed problem for the wave equation in a time dependent domain, Arch. Rational Mech. Anal. 22 (1966), 24–26.

    Article  MathSciNet  MATH  Google Scholar 

  10. E.D. Rogak and N.D. Kazarinoff, Exterior initial-boundary value problems for quasilinear hyperbolic equations in time-dependent domains, J. Math. Anal. Appl. 27 (1969), 116–126.

    Article  MathSciNet  MATH  Google Scholar 

  11. S.L. Sobolev, Some new problems for partial differential equations of hyperbolic type, Mat. Sbornik 11 (1942), 155–203.

    Google Scholar 

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Authors and Affiliations

  1. The University of Michigan, USA

    N. D. Kazarinoff

Authors
  1. N. D. Kazarinoff
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P. F. Hsieh A. W. J. Stoddart

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© 1971 Springer-Verlag

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Kazarinoff, N.D. (1971). Initial-boundary value problems and moving boundaries. In: Hsieh, P.F., Stoddart, A.W.J. (eds) Analytic Theory of Differential Equations. Lecture Notes in Mathematics, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060419

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  • DOI: https://doi.org/10.1007/BFb0060419

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05369-9

  • Online ISBN: 978-3-540-36454-2

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