An example of slow decay of the solution of the initial-boundary value problem for the wave equation in unbounded regions
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- by E. C. Zachmanoglou PDF
- Bull. Amer. Math. Soc. 70 (1964), 633-636
References
- Cathleen S. Morawetz, The limiting amplitude principle, Comm. Pure Appl. Math. 15 (1962), 349–361. MR 151712, DOI 10.1002/cpa.3160150303
- E. C. Zachmanoglou, The decay of solutions of the initial-boundary value problem for the wave equation in unbounded regions, Arch. Rational Mech. Anal. 14 (1963), 312–325. MR 164131, DOI 10.1007/BF00250710
- Peter D. Lax and Ralph S. Phillips, The wave equation in exterior domains, Bull. Amer. Math. Soc. 68 (1962), 47–49. MR 131059, DOI 10.1090/S0002-9904-1962-10697-1
- Peter D. Lax, Cathleen S. Morawetz, and Ralph S. Phillips, The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle, Bull. Amer. Math. Soc. 68 (1962), 593–595. MR 142890, DOI 10.1090/S0002-9904-1962-10865-9
- F. Oberhettinger, On the diffraction and reflection of waves and pulses by wedges and corners, J. Res. Nat. Bur. Standards 61 (1958), 343–365. MR 0098579, DOI 10.6028/jres.061.030
Additional Information
- Journal: Bull. Amer. Math. Soc. 70 (1964), 633-636
- DOI: https://doi.org/10.1090/S0002-9904-1964-11216-7
- MathSciNet review: 0168912