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Volumn 238, Issue 2, 1999, Pages 429-450

An Hs-Regularity Result for the Gradient of Solutions to Elliptic Equations with Mixed Boundary Conditions

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EID: 0347669723     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6518     Document Type: Article
Times cited : (30)

References (15)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • R. A. Adams, "Sobolev Spaces," Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
    • Adams, R.A.1
  • 2
    • 0040873415 scopus 로고
    • On solutions of elliptic equations satisfying mixed boundary conditions
    • A. Azzam and E. Kreyszig, On solutions of elliptic equations satisfying mixed boundary conditions, SIAM J. Math. Anal., 13, No. 2 (1982), 254-262.
    • (1982) SIAM J. Math. Anal. , vol.13 , Issue.2 , pp. 254-262
    • Azzam, A.1    Kreyszig, E.2
  • 3
    • 0022499052 scopus 로고
    • On the basic equations for carrier transport in semiconductors
    • H. Gajewski and K. Gröger, On the basic equations for carrier transport in semiconductors, J. Math. Anal. Appl. 113 (1989), 12-35.
    • (1989) J. Math. Anal. Appl. , vol.113 , pp. 12-35
    • Gajewski, H.1    Gröger, K.2
  • 5
    • 0003616637 scopus 로고
    • Singularities in Boundary Value Problems
    • RMA22, Springer-Verlag, Berlin/New York/Paris
    • P. Grisvard, "Singularities in Boundary Value Problems," Research Notes in Applied Mathematics, RMA22, Springer-Verlag, Berlin/New York/Paris, 1992.
    • (1992) Research Notes in Applied Mathematics
    • Grisvard, P.1
  • 6
    • 0000120084 scopus 로고
    • 1,p-estimate for solutions to mixed boundary value problems for second order elliptic differential equations
    • 1,p-estimate for solutions to mixed boundary value problems for second order elliptic differential equations, Math. Ann. 283 (1989), 679-687.
    • (1989) Math. Ann. , vol.283 , pp. 679-687
    • Gröger, K.1
  • 7
    • 0030589798 scopus 로고    scopus 로고
    • Existence of weak solutions of the drift diffusion model for semiconductors coupled with Maxwell's equations
    • F. Jochmann, Existence of weak solutions of the drift diffusion model for semiconductors coupled with Maxwell's equations, J. Math. Anal. Appl. 204 (1996), 655-676.
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 655-676
    • Jochmann, F.1
  • 8
    • 0039402056 scopus 로고    scopus 로고
    • Uniqueness and regularity for the two dimensional drift diffusion model for semiconductors coupled with Maxwell's equations
    • F. Jochmann, Uniqueness and regularity for the two dimensional drift diffusion model for semiconductors coupled with Maxwell's equations, J. Differential Equations 147 (1998), 242-270.
    • (1998) J. Differential Equations , vol.147 , pp. 242-270
    • Jochmann, F.1
  • 10
    • 38249025822 scopus 로고
    • Optimal Holder regularity for mixed boundary value problems
    • G. M. Liebermann, Optimal Holder regularity for mixed boundary value problems, J. Math. Anal. Appl. 143 (1989), 572-586.
    • (1989) J. Math. Anal. Appl. , vol.143 , pp. 572-586
    • Liebermann, G.M.1
  • 12
    • 0001239728 scopus 로고
    • Second order elliptic equations with mixed boundary conditions
    • A. J. Pryde, Second order elliptic equations with mixed boundary conditions, J. Math. Anal. Appl. 80 (1981), 203-244.
    • (1981) J. Math. Anal. Appl. , vol.80 , pp. 203-244
    • Pryde, A.J.1
  • 13
    • 51649184864 scopus 로고
    • Regularization of mixed second order elliptic problems
    • E. Shamir, Regularization of mixed second order elliptic problems, Israel J. Math. 6 (1968), 150-168.
    • (1968) Israel J. Math. , vol.6 , pp. 150-168
    • Shamir, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.