Existence and uniqueness for wave propagation in inhomogeneous elastic solids

Giacomo Caviglia; Angelo Morro

Rendiconti del Seminario Matematico della Università di Padova (2002)

  • Volume: 108, page 53-66
  • ISSN: 0041-8994

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Caviglia, Giacomo, and Morro, Angelo. "Existence and uniqueness for wave propagation in inhomogeneous elastic solids." Rendiconti del Seminario Matematico della Università di Padova 108 (2002): 53-66. <http://eudml.org/doc/108593>.

@article{Caviglia2002,
author = {Caviglia, Giacomo, Morro, Angelo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {energy method; Fourier analysis},
language = {eng},
pages = {53-66},
publisher = {Seminario Matematico of the University of Padua},
title = {Existence and uniqueness for wave propagation in inhomogeneous elastic solids},
url = {http://eudml.org/doc/108593},
volume = {108},
year = {2002},
}

TY - JOUR
AU - Caviglia, Giacomo
AU - Morro, Angelo
TI - Existence and uniqueness for wave propagation in inhomogeneous elastic solids
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2002
PB - Seminario Matematico of the University of Padua
VL - 108
SP - 53
EP - 66
LA - eng
KW - energy method; Fourier analysis
UR - http://eudml.org/doc/108593
ER -

References

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  1. [1] P. BASSANINI, Wave reflection from a system of plane waves, Wave Motion, 8 (1986), pp. 311-319. Zbl0585.73178MR852203
  2. [2] D. GRAFFI, Nonlinear Partial Differential Equations in Physical Problems, Pitman, Boston (1980). Zbl0453.35001MR580946
  3. [3] L. CESARI, A boundary value problem for quasilinear hyperbolic systems in the Schauder canonic form, Ann. Scuola Norm. Sup. Pisa, 1 (1974), pp. 311-358. Zbl0307.35063MR380132
  4. [4] P. BASSANINI - L. CESARI, La duplicazione di frequenza nella radiazione laser, Atti Accad. Naz. Lincei Rend., 69 (1980), pp. 166-173. MR670822
  5. [5] G. CAVIGLIA - A. MORRO, Multimode wave scattering problems in layered dissipative solids, Archives of Mechanics, 51 (1999), pp. 533-546. Zbl0959.74035MR1737920
  6. [6] G. CAVIGLIA - A. MORRO, Riccati equations for wave propagation in planarlystratified solids, Eur. J. Mech. A/Solids, 19 (2000), pp. 721-741. Zbl0968.74037MR1773860
  7. [7] G. CAVIGLIA - A. MORRO, Wave reflection and transmission from anisotropic layers through Riccati equations, Q. Jl Mech. Appl. Math., 55 (2002), pp. 93-107. Zbl1115.74334MR1883530
  8. [8] D. H. GRIFFEL, Applied Functional Analysis, Wiley, New York (1981); § 3.6. Zbl0461.46001MR637334
  9. [9] J. D. ACHENBACH, Wave Propagation in Elastic Solids, North-Holland, Amsterdam (1975); p. 187. Zbl0657.73019

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