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Volumn 16, Issue 1, 2006, Pages 139-160

Sharp regularity coefficient estimates for complex-valued acoustic and elastic helmholtz equations

Author keywords

Frequency domain treatment of waves regularity coefficients; Helmholtz equations; Rellich identity

Indexed keywords


EID: 32644451827     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021820250600108X     Document Type: Article
Times cited : (115)

References (18)
  • 2
    • 0040571329 scopus 로고    scopus 로고
    • Domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element
    • L. S. Bennethum and X. Feng, Domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element, R.A.I.R.O. Mod. Math. Anal. Numér. 31 (1997) 1-25.
    • (1997) R.A.I.R.O. Mod. Math. Anal. Numér. , vol.31 , pp. 1-25
    • Bennethum, L.S.1    Feng, X.2
  • 3
    • 0001059379 scopus 로고
    • The initial Dirichlet problem for a fourth-order parabolic equation in Lipschitz domain
    • R. Brown and Z. Sheen, The initial Dirichlet problem for a fourth-order parabolic equation in Lipschitz domain, Indiana U. Math. J. 39 (1990) 1313-1353.
    • (1990) Indiana U. Math. J. , vol.39 , pp. 1313-1353
    • Brown, R.1    Sheen, Z.2
  • 5
    • 0008747979 scopus 로고    scopus 로고
    • Domain decomposition methods for a system of coupled acoustic and elastic Helmholtz equations
    • eds. C.-H. Lai, et al.
    • P. Cummings and X. Feng, Domain decomposition methods for a system of coupled acoustic and elastic Helmholtz equations, in Proc. 11th Int. Conf. on Domain Decomposition Methods, eds. C.-H. Lai, et al. (1999), pp. 251-259.
    • (1999) Proc. 11th Int. Conf. on Domain Decomposition Methods , pp. 251-259
    • Cummings, P.1    Feng, X.2
  • 6
    • 84972551990 scopus 로고
    • Boundary value problems for the systems of elastostatics in Lipschitz domains
    • B. E. J. Dahlberg, C. E. Kenig and G. C. Verchota, Boundary value problems for the systems of elastostatics in Lipschitz domains, Duke Math. J. 57 (1988) 795-818.
    • (1988) Duke Math. J. , vol.57 , pp. 795-818
    • Dahlberg, B.E.J.1    Kenig, C.E.2    Verchota, G.C.3
  • 9
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic wave calculations
    • B. Engquist and A. Majda, Radiation boundary conditions for acoustic and elastic wave calculations, Comm. Pure Appl. Math. 32 (1979) 314-358.
    • (1979) Comm. Pure Appl. Math. , vol.32 , pp. 314-358
    • Engquist, B.1    Majda, A.2
  • 10
    • 32644439957 scopus 로고
    • An elliptic regularity coefficient estimate for the equations of the motion for nearly elastic solids in the frequency domain
    • X. Feng, An elliptic regularity coefficient estimate for the equations of the motion for nearly elastic solids in the frequency domain, Mat. Apl. Comput. 14 (1995) 141-156.
    • (1995) Mat. Apl. Comput. , vol.14 , pp. 141-156
    • Feng, X.1
  • 11
    • 84968475590 scopus 로고
    • An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves
    • X. Feng and D. Sheen, An elliptic regularity coefficient estimate for a problem arising from a frequency domain treatment of waves, Trans. Amer. Math. Soc. 346 (1994) 475-487.
    • (1994) Trans. Amer. Math. Soc. , vol.346 , pp. 475-487
    • Feng, X.1    Sheen, D.2
  • 12
    • 0003616637 scopus 로고
    • Research Notes in Applied Mathematics, Masson and Springer-Verlag
    • P. Grisvard, Singularities in Boundary Value Problems, Research Notes in Applied Mathematics, Vol. 22 (Masson and Springer-Verlag, 1992).
    • (1992) Singularities in Boundary Value Problems , vol.22
    • Grisvard, P.1
  • 16
    • 0000667107 scopus 로고
    • On Korn's second inequality
    • A. J. Nitsche, On Korn's second inequality, R.A.I.R.O. Anal. Numér. 15 (19981) 237-248.
    • (1981) R.A.I.R.O. Anal. Numér. , vol.15 , pp. 237-248
    • Nitsche, A.J.1
  • 17
    • 84972535391 scopus 로고
    • New bounds for solutions of second order elliptic partial differential equations
    • L. E. Payne and H. F. Weinberger, New bounds for solutions of second order elliptic partial differential equations, Pac. J. Math. 8 (1958) 551-573.
    • (1958) Pac. J. Math. , vol.8 , pp. 551-573
    • Payne, L.E.1    Weinberger, H.F.2
  • 18
    • 0000494186 scopus 로고
    • Darstellung der eigenwerte von Δu+λu = 0 durch ein randintegral
    • F. Rellich, Darstellung der eigenwerte von Δu+λu = 0 durch ein randintegral, Math. Z. 46 (1940) 635-636.
    • (1940) Math. Z. , vol.46 , pp. 635-636
    • Rellich, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.