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Volumn 350, Issue 1, 2009, Pages 122-134

Approximation by solutions of elliptic equations in semilocal spaces

Author keywords

Density results; Elliptic partial differential equations; Fundamental solutions; Method of fundamental solutions; Semilocal spaces

Indexed keywords


EID: 54149088994     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.09.049     Document Type: Article
Times cited : (3)

References (14)
  • 2
    • 0022107918 scopus 로고
    • Fundamental solutions method for elliptic boundary value problems
    • Bogomolny A. Fundamental solutions method for elliptic boundary value problems. SIAM J. Numer. Anal. 22 4 (1985) 644-669
    • (1985) SIAM J. Numer. Anal. , vol.22 , Issue.4 , pp. 644-669
    • Bogomolny, A.1
  • 3
    • 0012420284 scopus 로고
    • Approximation by solutions of partial differential equations
    • Browder F.E. Approximation by solutions of partial differential equations. Amer. J. Math. 84 (1962) 134-160
    • (1962) Amer. J. Math. , vol.84 , pp. 134-160
    • Browder, F.E.1
  • 4
    • 84968520681 scopus 로고
    • On the theory of kernels of Schwartz
    • Ehrenpreis L. On the theory of kernels of Schwartz. Proc. Amer. Math. Soc. 7 (1956) 713-718
    • (1956) Proc. Amer. Math. Soc. , vol.7 , pp. 713-718
    • Ehrenpreis, L.1
  • 5
    • 0041621774 scopus 로고    scopus 로고
    • The method of fundamental solutions for scattering and radiation problems
    • Fairweather G., Karageorghis A., and Martin P.A. The method of fundamental solutions for scattering and radiation problems. Eng. Anal. Bound. Elem. 27 (2003) 759-769
    • (2003) Eng. Anal. Bound. Elem. , vol.27 , pp. 759-769
    • Fairweather, G.1    Karageorghis, A.2    Martin, P.A.3
  • 6
    • 0003284894 scopus 로고
    • The Analysis of Linear Partial Differential Operators. II
    • Springer-Verlag, Berlin
    • Fairweather G., Karageorghis A., and Martin P.A. The Analysis of Linear Partial Differential Operators. II. Grundlehren Math. Wiss. vol. 257 (1983), Springer-Verlag, Berlin
    • (1983) Grundlehren Math. Wiss. , vol.257
    • Fairweather, G.1    Karageorghis, A.2    Martin, P.A.3
  • 7
    • 0012460960 scopus 로고
    • An approximate method of solving certain boundary-value problems
    • (in Russian)
    • Kupradze V.D., and Aleksidze M.A. An approximate method of solving certain boundary-value problems. Soobshch. Akad. Nauk Gruzin. SSR 30 (1963) 529-536 (in Russian)
    • (1963) Soobshch. Akad. Nauk Gruzin. SSR , vol.30 , pp. 529-536
    • Kupradze, V.D.1    Aleksidze, M.A.2
  • 8
    • 0001624669 scopus 로고
    • Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution
    • Malgrange B. Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution. Ann. Inst. Fourier (Grenoble) 6 (1955-1956) 271-355
    • (1955) Ann. Inst. Fourier (Grenoble) , vol.6 , pp. 271-355
    • Malgrange, B.1
  • 10
    • 54149097019 scopus 로고    scopus 로고
    • Y.-S. Smyrlis, Applicability and applications of the method of fundamental solutions, Math. Comp., in press
    • Y.-S. Smyrlis, Applicability and applications of the method of fundamental solutions, Math. Comp., in press
  • 11
    • 54149113003 scopus 로고    scopus 로고
    • Y.-S. Smyrlis, Mathematical foundation of the MFS for certain elliptic systems arising from linear elasticity, Tech. Report TR-25-2007, Department of Mathematics and Statistics, University of Cyprus, October 2007
    • Y.-S. Smyrlis, Mathematical foundation of the MFS for certain elliptic systems arising from linear elasticity, Tech. Report TR-25-2007, Department of Mathematics and Statistics, University of Cyprus, October 2007
  • 12
    • 0003201639 scopus 로고
    • Singular Integrals and Differentiability Properties of Functions
    • Princeton University Press, Princeton, NJ
    • Stein E.M. Singular Integrals and Differentiability Properties of Functions. Princeton Math. Ser. vol. 30 (1970), Princeton University Press, Princeton, NJ
    • (1970) Princeton Math. Ser. , vol.30
    • Stein, E.M.1
  • 13
    • 0343766382 scopus 로고
    • The Cauchy Problem for Solutions of Elliptic Equations
    • Akademie Verlag, Berlin
    • Tarkhanov N.N. The Cauchy Problem for Solutions of Elliptic Equations. Math. Topics vol. 7 (1995), Akademie Verlag, Berlin
    • (1995) Math. Topics , vol.7
    • Tarkhanov, N.N.1
  • 14
    • 84968474054 scopus 로고
    • Uniform approximation by solutions of elliptic equations
    • Weinstock B.M. Uniform approximation by solutions of elliptic equations. Proc. Amer. Math. Soc. 41 (1973) 513-517
    • (1973) Proc. Amer. Math. Soc. , vol.41 , pp. 513-517
    • Weinstock, B.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.