On an inversion formula of certain Laplace transforms in dissipative wave propagation

Pasquale Renno

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1981)

  • Volume: 71, Issue: 6, page 176-181
  • ISSN: 1120-6330

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Renno, Pasquale. "On an inversion formula of certain Laplace transforms in dissipative wave propagation." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 71.6 (1981): 176-181. <http://eudml.org/doc/287006>.

@article{Renno1981,
author = {Renno, Pasquale},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {inversion formula; dissipative wave propagation; half-space problem; one- dimensional Cauchy problem; boundary value problems for standard linear solid; maximum properties; fundamental solutions},
language = {eng},
month = {12},
number = {6},
pages = {176-181},
publisher = {Accademia Nazionale dei Lincei},
title = {On an inversion formula of certain Laplace transforms in dissipative wave propagation},
url = {http://eudml.org/doc/287006},
volume = {71},
year = {1981},
}

TY - JOUR
AU - Renno, Pasquale
TI - On an inversion formula of certain Laplace transforms in dissipative wave propagation
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1981/12//
PB - Accademia Nazionale dei Lincei
VL - 71
IS - 6
SP - 176
EP - 181
LA - eng
KW - inversion formula; dissipative wave propagation; half-space problem; one- dimensional Cauchy problem; boundary value problems for standard linear solid; maximum properties; fundamental solutions
UR - http://eudml.org/doc/287006
ER -

References

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  1. Christensen, R.M. (1971) - Theory of viscoelasticity, Academic Press, New-York and London. 
  2. Hunter, S.C. (1964) - Viscoelastic waves, in «Progress in Solid Mechanics», Vol. I, pp. 3-57, North-Holland Publ. Co.Amsterdam. 
  3. Lick, W. (1967) - Wave propagation in real gases, «Advances in Applied Mechanics», Vol. 10, fasc. I pp. 1-72, Academic PressNew-York and London. 
  4. Morrison, J.A. (1956) - Wave propagation in rods of Voigt material and viscoelastic material with three parameter models, «Quart, of Appl. Math.», Vol. XIV, pp. 153-169. Zbl0071.39902
  5. Renno, P. (1979) - Sulla soluzione fondamentale di un operatore iperbolico della termochimica tridimensionale, «Rend. Acc. Naz. delle Scienze» (detta dei XL), 98, Vol. IV, fasc. 4, pp. 43-62. 
  6. Renno, P. (1981) - On the theory of dissipative threedimensional wave motion, «Mech. Research Communications», Vol. 8 (2), pp. 83-92. Zbl0476.76023
  7. D'Acunto, B., D'Anna, A. and Renno, P. (1981) - Sul problema dell'urto per un materiale viscoelastico, Congress «Onde e stabilità nei mezzi continui», Catania, (to be published). 
  8. Renno, P. (1981) - Singular perturbation problems for the operator ϵ t ( t 2 - a 1 2 Δ ) + t 2 - a 0 2 Δ General lecture at the Congress «Onde e stabilità nei mezzi continui», Catania (to be published). 

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