On the stability of the Dirichlet problem for the vibrating string equation

Gloria Papi Frosali

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

  • Volume: 6, Issue: 4, page 719-728
  • ISSN: 0391-173X

How to cite

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Papi Frosali, Gloria. "On the stability of the Dirichlet problem for the vibrating string equation." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (1979): 719-728. <http://eudml.org/doc/83827>.

@article{PapiFrosali1979,
author = {Papi Frosali, Gloria},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {stability; Dirichlet problem; vibrating string equation; ill-posed problem; energy functional; numerical approximation},
language = {eng},
number = {4},
pages = {719-728},
publisher = {Scuola normale superiore},
title = {On the stability of the Dirichlet problem for the vibrating string equation},
url = {http://eudml.org/doc/83827},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Papi Frosali, Gloria
TI - On the stability of the Dirichlet problem for the vibrating string equation
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 4
SP - 719
EP - 728
LA - eng
KW - stability; Dirichlet problem; vibrating string equation; ill-posed problem; energy functional; numerical approximation
UR - http://eudml.org/doc/83827
ER -

References

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  1. [1] D.G. Bourgin - R. Duffin, The Dirichlet problem for the vibrating string equation, Bull. Amer. Math. Soc., 45 (1939), 851-858. Zbl0023.04201MR729JFM65.0438.01
  2. [2] D.W. Fox - C. Pucci, The Dirichlet problem for the wave equation, Ann. Mat. Pura Appl., (IV), vol. XLVI (1958), 155-182. Zbl0101.31001MR104902
  3. [3] F. John, The Dirichlet problem for a hyperbolic equation, Amer. J. Math., 63 (1941), 141-154. Zbl0024.20304MR3346JFM67.0362.02
  4. [4] C. Viola, Diophantine approximation in short intervals, Ann. Scuola Norm. Sup. Pisa, 6 (1979), pp. 703-717. Zbl0424.10022MR563340
  5. [5] S. Dolecki, Observability for the one-dimensional heat equation, Studia Math., 48 (1973), 291-305. Zbl0264.35036MR333444
  6. [6] A. Ya. Khinchin, Continued fractions, The University of Chicago Press, 1964. Zbl0117.28601MR161833

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