메뉴 건너뛰기




Volumn 40, Issue 1, 2011, Pages 37-49

Bump solutions for the mesoscopic Allen-Cahn equation in periodic media

Author keywords

[No Author keywords available]

Indexed keywords


EID: 78649904854     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-010-0332-4     Document Type: Article
Times cited : (12)

References (18)
  • 2
    • 29144526419 scopus 로고    scopus 로고
    • n of irrational slope
    • n of irrational slope. Commum. Part. Differ. Eq. 30(10-12), 1773-1804 (2005).
    • (2005) Commum. Part. Differ. Eq. , vol.30 , Issue.10-12 , pp. 1773-1804
    • Bessi, U.1
  • 4
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall M., Ishii H., Lions P.-L.: User's guide to viscosity solutions of second order partial differential equations. Bull. Am. Math. Soc. 27(1), 1-67 (1992).
    • (1992) Bull. Am. Math. Soc. , vol.27 , Issue.1 , pp. 1-67
    • Crandall, M.1    Ishii, H.2    Lions, P.-L.3
  • 5
    • 33646389548 scopus 로고    scopus 로고
    • γ-convergence of the Allen-Cahn energy with an oscillating forcing term
    • Dirr N., Lucia M., Novaga M.: Γ-convergence of the Allen-Cahn energy with an oscillating forcing term. Interfaces Free Bound. 8(1), 47-78 (2006).
    • (2006) Interfaces Free Bound. , vol.8 , Issue.1 , pp. 47-78
    • Dirr, N.1    Lucia, M.2    Novaga, M.3
  • 6
    • 34447507902 scopus 로고    scopus 로고
    • Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media
    • de la Llave R., Valdinoci E.: Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media. Adv. Math. 215(1), 379-426 (2007).
    • (2007) Adv. Math. , vol.215 , Issue.1 , pp. 379-426
    • de la Llave, R.1    Valdinoci, E.2
  • 7
    • 33646424094 scopus 로고    scopus 로고
    • Pinning and de-pinning phenomena in front propagation in heterogeneous media
    • Dirr N., Yip N. K.: Pinning and de-pinning phenomena in front propagation in heterogeneous media. Interfaces Free Bound. 8(1), 79-109 (2006).
    • (2006) Interfaces Free Bound. , vol.8 , Issue.1 , pp. 79-109
    • Dirr, N.1    Yip, N.K.2
  • 8
    • 54049115061 scopus 로고    scopus 로고
    • Pulsating wave for mean curvature flow in inhomogeneous medium
    • Dirr N., Yip N. K., Karali G.: Pulsating wave for mean curvature flow in inhomogeneous medium. Eur. J. Appl. Math. 19, 661-699 (2008).
    • (2008) Eur. J. Appl. Math. , vol.19 , pp. 661-699
    • Dirr, N.1    Yip, N.K.2    Karali, G.3
  • 9
    • 84963023423 scopus 로고
    • The heat equation shrinking convex plane curves
    • Gage M., Hamilton R. S.: The heat equation shrinking convex plane curves. J. Differ. Geom. 23(1), 69-96 (1986).
    • (1986) J. Differ. Geom. , vol.23 , Issue.1 , pp. 69-96
    • Gage, M.1    Hamilton, R.S.2
  • 10
    • 0003343498 scopus 로고
    • Minimal surfaces and functions of bounded variation
    • Birkhäuser Verlag, Basel
    • Giusti, E.: Minimal surfaces and functions of bounded variation. In: Monographs in Mathematics, vol. 80. Birkhäuser Verlag, Basel (1984).
    • (1984) Monographs in Mathematics , vol.80
    • Giusti, E.1
  • 11
    • 39649086682 scopus 로고    scopus 로고
    • The geometry of mesoscopic phase transition interfaces
    • Novaga M., Valdinoci E.: The geometry of mesoscopic phase transition interfaces. Discrete Contin. Dyn. Syst. 19(4), 777-798 (2007).
    • (2007) Discrete Contin. Dyn. Syst. , vol.19 , Issue.4 , pp. 777-798
    • Novaga, M.1    Valdinoci, E.2
  • 12
    • 72649091666 scopus 로고    scopus 로고
    • Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations
    • Novaga M., Valdinoci E.: Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations. ESAIM Control Optim. Calc. Var. 15(4), 914-933 (2009).
    • (2009) ESAIM Control Optim. Calc. Var. , vol.15 , Issue.4 , pp. 914-933
    • Novaga, M.1    Valdinoci, E.2
  • 13
    • 78649905271 scopus 로고    scopus 로고
    • Closed curves of prescribed curvature and a pinning effect
    • (to appear)
    • Novaga, M., Valdinoci, E.: Closed curves of prescribed curvature and a pinning effect. Netw. Heterog. Media (to appear).
    • Netw. Heterog. Media
    • Novaga, M.1    Valdinoci, E.2
  • 14
    • 0031543122 scopus 로고    scopus 로고
    • A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem
    • Paolini M.: A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem. Math. Comput. 66, 45-67 (1997).
    • (1997) Math. Comput. , vol.66 , pp. 45-67
    • Paolini, M.1
  • 15
    • 0038336604 scopus 로고    scopus 로고
    • Mixed states for an Allen-Cahn type equation. Dedicated to the memory of Jürgen K. Moser
    • Rabinowitz P. H., Stredulinsky E.: Mixed states for an Allen-Cahn type equation. Dedicated to the memory of Jürgen K. Moser. Commun. Pure Appl. Math. 56(8), 1078-1134 (2003).
    • (2003) Commun. Pure Appl. Math. , vol.56 , Issue.8 , pp. 1078-1134
    • Rabinowitz, P.H.1    Stredulinsky, E.2
  • 16
    • 4644276505 scopus 로고    scopus 로고
    • Mixed states for an Allen-Cahn type equation. II. Calc
    • Rabinowitz P. H., Stredulinsky E.: Mixed states for an Allen-Cahn type equation. II. Calc. Var. Part. Differ. Eq. 21(2), 157-207 (2004).
    • (2004) Var. Part. Differ. Eq. , vol.21 , Issue.2 , pp. 157-207
    • Rabinowitz, P.H.1    Stredulinsky, E.2
  • 17
    • 44449115759 scopus 로고    scopus 로고
    • On a class of infinite transition solutions for an Allen-Cahn model equation
    • Rabinowitz P. H., Stredulinsky E.: On a class of infinite transition solutions for an Allen-Cahn model equation. Discrete Contin. Dyn. Syst. 21(1), 319-332 (2008).
    • (2008) Discrete Contin. Dyn. Syst. , vol.21 , Issue.1 , pp. 319-332
    • Rabinowitz, P.H.1    Stredulinsky, E.2
  • 18
    • 0242672014 scopus 로고    scopus 로고
    • Area minimizing sets subject to a volume constraint in a convex set
    • Stredulinsky E., Ziemer W. P.: Area minimizing sets subject to a volume constraint in a convex set. J. Geom. Anal. 7(4), 653-677 (1997).
    • (1997) J. Geom. Anal. , vol.7 , Issue.4 , pp. 653-677
    • Stredulinsky, E.1    Ziemer, W.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.