메뉴 건너뛰기




Volumn 13, Issue 1, 2003, Pages 157-167

On the problem of optimal cutting

Author keywords

Membrane; Optimal cut; Variation of a crack

Indexed keywords


EID: 0037289079     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623401387118     Document Type: Article
Times cited : (7)

References (22)
  • 2
    • 0000465804 scopus 로고
    • Existence theory for a new class of variational problems
    • L. AMBROSIO, Existence theory for a new class of variational problems, Arch. Ration. Mech. Anal., 111 (1990), pp. 291-322.
    • (1990) Arch. Ration. Mech. Anal. , vol.111 , pp. 291-322
    • Ambrosio, L.1
  • 4
    • 0001018530 scopus 로고
    • On the harmonic measure of slit domains
    • A. BAERNSTEIN, On the harmonic measure of slit domains, Complex Variables Theory Appl., 9 (1987), pp. 131-142.
    • (1987) Complex Variables Theory Appl. , vol.9 , pp. 131-142
    • Baernstein, A.1
  • 5
    • 0013467367 scopus 로고
    • Dubinin's symmetrization theorem
    • Complex Analysis, I (College Park, MD, 1985-86), Springer-Verlag, Berlin
    • A. BAERNSTEIN, Dubinin's symmetrization theorem, in Complex Analysis, I (College Park, MD, 1985-86), Lecture Notes in Math. 1275, Springer-Verlag, Berlin, 1987, pp. 23-30.
    • (1987) Lecture Notes in Math. , vol.1275 , pp. 23-30
    • Baernstein, A.1
  • 6
    • 33747085084 scopus 로고    scopus 로고
    • Shape optimization problems governed by nonlinear state equation
    • D. BUCUR AND P. TREBESCHI, Shape optimization problems governed by nonlinear state equation, Proc. Roy. Soc. Edinburgh Sect. A, 128 (1998), pp. 945-963.
    • (1998) Proc. Roy. Soc. Edinburgh Sect. A , vol.128 , pp. 945-963
    • Bucur, D.1    Trebeschi, P.2
  • 7
    • 0000708262 scopus 로고    scopus 로고
    • Boundary variation for the Neumann problem
    • D. BUCUR AND N. VARCHON, Boundary variation for the Neumann problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 24 (2000), pp. 807-821.
    • (2000) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.24 , Issue.4 , pp. 807-821
    • Bucur, D.1    Varchon, N.2
  • 9
    • 0000224544 scopus 로고    scopus 로고
    • Stabilité de la solution d'un problème de Neumann pour des variations de frontière
    • D. BUCUR AND N. VARCHON, Stabilité de la solution d'un problème de Neumann pour des variations de frontière, C. R. Acad. Sci. Paris Ser. I Math., 331 (2000), pp. 371-374.
    • (2000) C. R. Acad. Sci. Paris Ser. I Math. , vol.331 , pp. 371-374
    • Bucur, D.1    Varchon, N.2
  • 11
    • 0000948137 scopus 로고    scopus 로고
    • Continuity of Neumann linear elliptic problems on varying two-dimensional bounded open sets
    • A. CHAMBOLLE AND F. DOVERI, Continuity of Neumann linear elliptic problems on varying two-dimensional bounded open sets, Comm. Partial Differential Equations, 22 (1997), pp. 811-840.
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 811-840
    • Chambolle, A.1    Doveri, F.2
  • 13
    • 0001656014 scopus 로고
    • Change of harmonic measure in symmetrization
    • (in Russian)
    • V. N. DUBININ, Change of harmonic measure in symmetrization, Mat. Sb. (N.S.), 124 (1984), pp. 272-279 (in Russian).
    • (1984) Mat. Sb. (N.S.) , vol.124 , pp. 272-279
    • Dubinin, V.N.1
  • 14
    • 0003346795 scopus 로고
    • Measure theory and fine properties of functions
    • CRC Press, Boca Raton, FL
    • L. C. EVANS AND R. F. GARIEPY, Measure Theory and Fine Properties of Functions, Stud. Adv. Math., CRC Press, Boca Raton, FL, 1992.
    • (1992) Stud. Adv. Math.
    • Evans, L.C.1    Gariepy, R.F.2
  • 16
    • 0013507503 scopus 로고
    • The method of interior parallels applied to polygonal or multiply connected membranes
    • J. HERSCH, The method of interior parallels applied to polygonal or multiply connected membranes, Pacific J. Math., 13 (1963), pp. 1229-1238.
    • (1963) Pacific J. Math. , vol.13 , pp. 1229-1238
    • Hersch, J.1
  • 18
    • 0001080903 scopus 로고
    • Boundary waves in a fluid under an elastic membrane with a crack
    • (in Russian)
    • R. V. GOL'DSHTEǏN, A. V. MARCHENKO, AND A. YU. SEMËNOV, Boundary waves in a fluid under an elastic membrane with a crack, Dokl. Akad. Nauk, 339 (1994), pp. 331-334 (in Russian); Phys. Dokl., 39 (1994), pp. 813-815 (in English).
    • (1994) Dokl. Akad. Nauk , vol.339 , pp. 331-334
    • Gol'dshteǐn, R.V.1    Marchenko, A.V.2    Semënov, A.Yu.3
  • 19
    • 0013529224 scopus 로고
    • (in English)
    • R. V. GOL'DSHTEǏN, A. V. MARCHENKO, AND A. YU. SEMËNOV, Boundary waves in a fluid under an elastic membrane with a crack, Dokl. Akad. Nauk, 339 (1994), pp. 331-334 (in Russian); Phys. Dokl., 39 (1994), pp. 813-815 (in English).
    • (1994) Phys. Dokl. , vol.39 , pp. 813-815
  • 20
    • 0032391140 scopus 로고    scopus 로고
    • The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy
    • R. LIPTON, The second Stekloff eigenvalue and energy dissipation inequalities for functionals with surface energy, SIAM J. Math. Anal., 29 (1998), pp. 673-680.
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 673-680
    • Lipton, R.1
  • 21
    • 0001007548 scopus 로고
    • On optimal shape design
    • V. SVERAK, On optimal shape design, J. Math. Pures Appl., 72 (1993), pp. 537-551.
    • (1993) J. Math. Pures Appl. , vol.72 , pp. 537-551
    • Sverak, V.1
  • 22
    • 0013469163 scopus 로고
    • An effectless cutting of a vibrating membrane
    • H. F. WEINBERGER, An effectless cutting of a vibrating membrane, Pacific J. Math., 13 (1963), pp. 1239-1240.
    • (1963) Pacific J. Math. , vol.13 , pp. 1239-1240
    • Weinberger, H.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.