메뉴 건너뛰기




Volumn , Issue , 2017, Pages 137-145

An integrodifferential analog of semilinear parabolic PDE’s

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85053561834     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1201/9780203744369     Document Type: Chapter
Times cited : (35)

References (31)
  • 1
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusion arising in population genetics
    • D. G. Aronson and H. F. Weinberger, Multidimensional nonlinear diffusion arising in population genetics, Advances in Math. 30, 33-76 (1978).
    • (1978) Advances in Math. , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 4
    • 0001314971 scopus 로고
    • Dynamics of layered interfaces arising from phase boundaries
    • G. Caginalp and P. C. Fife, Dynamics of layered interfaces arising from phase boundaries, SIAM J. Appl Math. 48, 506-518 (1988).
    • (1988) SIAM J. Appl Math. , vol.48 , pp. 506-518
    • Caginalp, G.1    Fife, P.C.2
  • 5
    • 6244279498 scopus 로고
    • Theory of crystal growth and interface motion in crystalline materials
    • J. W. Cahn, Theory of crystal growth and interface motion in crystalline materials, Acta Metallurgica 8, 554-562 (1960).
    • (1960) Acta Metallurgica , vol.8 , pp. 554-562
    • Cahn, J.W.1
  • 6
    • 0001924513 scopus 로고
    • A microscopic theory for domain wall motion and its experimental verification in Fe-Al alloy domain growth kinetics
    • J. W. Cahn and S. M. Allen, A microscopic theory for domain wall motion and its experimental verification in Fe-Al alloy domain growth kinetics, J. de Physique 38 Colloque C7, 51-54 (1977).
    • (1977) J. de Physique 38 Colloque , vol.C7 , pp. 51-54
    • Cahn, J.W.1    Allen, S.M.2
  • 7
    • 0018480694 scopus 로고
    • A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening
    • J. W. Cahn and S. M. Allen, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta. Met. 27, 1085-1095 (1979).
    • (1979) Acta. Met. , vol.27 , pp. 1085-1095
    • Cahn, J.W.1    Allen, S.M.2
  • 8
    • 0001249829 scopus 로고
    • Generation and propagation of interface in reaction-diffusion equations
    • Xinfu Chen, Generation and propagation of interface in reaction-diffusion equations, J. Diff. Equations 96, 116-141 (1992).
    • (1992) J. Diff. Equations , vol.96 , pp. 116-141
    • Chen, X.1
  • 10
    • 84990617538 scopus 로고
    • Phase transitions and generalized motion by mean curvature
    • L. C. Evans, H. M. Soner, and P. E. Souganidis, Phase transitions and generalized motion by mean curvature, Comm. Pure Appl. Math. 45, 1097-1123 (1992).
    • (1992) Comm. Pure Appl. Math. , vol.45 , pp. 1097-1123
    • Evans, L.C.1    Soner, H.M.2    Souganidis, P.E.3
  • 11
  • 13
    • 0039215869 scopus 로고
    • Models for phase separation and their mathematics
    • (M. Mimura and T. Nishida, eds.), Proc. Conf. on Nonlinear Partial Differential Equations, Kyoto
    • P. C. Fife, Models for phase separation and their mathematics, in Nonlinear Partial Differential Equations with Applications to Patterns, Waves, and Interfaces, (M. Mimura and T. Nishida, eds.), pp. 183-212, Proc. Conf. on Nonlinear Partial Differential Equations, Kyoto (1992).
    • (1992) Nonlinear Partial Differential Equations with Applications to Patterns, Waves, and Interfaces , pp. 183-212
    • Fife, P.C.1
  • 14
    • 0002910353 scopus 로고
    • Long time behavior of solutions of bistable nonlinear diffusion equations
    • P. C. Fife, Long time behavior of solutions of bistable nonlinear diffusion equations, Arch. Rat. Mech. Anal. 70, 31-46 (1979).
    • (1979) Arch. Rat. Mech. Anal. , vol.70 , pp. 31-46
    • Fife, P.C.1
  • 15
    • 0039088719 scopus 로고
    • The generation and propagation of internal layers
    • P. C. Fife and L. Hsiao, The generation and propagation of internal layers, Nonlinear Anal. 70, 31-46 (1988).
    • (1988) Nonlinear Anal. , vol.70 , pp. 31-46
    • Fife, P.C.1    Hsiao, L.2
  • 16
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations to travelling front solutions
    • P. C. Fife and J. B. McLeod, The approach of solutions of nonlinear diffusion equations to travelling front solutions, Arch. Rational Mech. Anal. 65, 335-361 (1977).
    • (1977) Arch. Rational Mech. Anal. , vol.65 , pp. 335-361
    • Fife, P.C.1    McLeod, J.B.2
  • 17
    • 0002770846 scopus 로고
    • Also announcement in
    • Also announcement in Bull. Amer. Math. Soc. 81, 1075-1078 (1975).
    • (1975) Bull. Amer. Math. Soc. , vol.81 , pp. 1075-1078
  • 18
    • 0019661804 scopus 로고
    • A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
    • P. C. Fife and J. M. McLeod, A phase plane discussion of convergence to travelling fronts for nonlinear diffusion, Arch. Rat. Mech. Anal. 75, 281-314 (1981).
    • (1981) Arch. Rat. Mech. Anal. , vol.75 , pp. 281-314
    • Fife, P.C.1    McLeod, J.M.2
  • 20
    • 0039565152 scopus 로고
    • Bistable reaction-diffusion equations and excitable media
    • J. Gartner, Bistable reaction-diffusion equations and excitable media, Math. Nachr. 112, 125-152 (1983).
    • (1983) Math. Nachr. , vol.112 , pp. 125-152
    • Gartner, J.1
  • 21
    • 0022699402 scopus 로고
    • Geometric optics approach for reaction diffusion equations
    • M.I. Freidlin, Geometric optics approach for reaction diffusion equations, S IAM J. Appl. Math. Jf6, 222-232 (1986).
    • (1986) S IAM J. Appl. Math. Jf6 , pp. 222-232
    • Freidlin, M.I.1
  • 22
    • 0000638913 scopus 로고
    • On the stabilization of solutions of the Cauchy problem for the equations arising in the theory of combustion
    • Ya. I. Kanel’, On the stabilization of solutions of the Cauchy problem for the equations arising in the theory of combustion, Mat. Sbornik 59, 245-288 (1962).
    • (1962) Mat. Sbornik , vol.59 , pp. 245-288
    • Kanel’, Y.I.1
  • 24
    • 21344476649 scopus 로고
    • Motion by curvature by scaling nonlocal evolution equations
    • A. de Masi, E. Orlandi, E. Presutti, and L. Triolo, Motion by curvature by scaling nonlocal evolution equations, J. St.at. Physics 73, 543-570 (1993).
    • (1993) J. St.at. Physics , vol.73 , pp. 543-570
    • de Masi, A.1    Orlandi, E.2    Presutti, E.3    Triolo, L.4
  • 26
    • 0003354543 scopus 로고
    • Uniqueness of the instanton profile and global stability in non local evolution equations
    • A. de Masi, E. Orlandi, E. Presutti, and L. Triolo, Uniqueness of the instanton profile and global stability in non local evolution equations, Rend. Math. 14, 693-723 (1994).
    • (1994) Rend. Math. , vol.14 , pp. 693-723
    • de Masi, A.1    Orlandi, E.2    Presutti, E.3    Triolo, L.4
  • 27
    • 0001318159 scopus 로고
    • Evolution geometrique d’interfaces
    • P. de Mottoni and M. Schatzman, Evolution geometrique d’interfaces, C. R. Acad. Paris 309, 453-458 (1989).
    • (1989) C. R. Acad. Paris , vol.309 , pp. 453-458
    • de Mottoni, P.1    Schatzman, M.2
  • 29
    • 84972434011 scopus 로고
    • Development of interfaces in N-dimensional space
    • P. de Mottoni and M. Schatzman, Development of interfaces in N-dimensional space, Proc. Roy. Soc. Edinburgh 116A, 207-220 (1990).
    • (1990) Proc. Roy. Soc. Edinburgh , vol.116A , pp. 207-220
    • de Mottoni, P.1    Schatzman, M.2
  • 31
    • 85033107081 scopus 로고    scopus 로고
    • Ginzburg-Landau equation and motion by mean curvature, I: Convergence; II: Development of the initial interface
    • in press
    • H. M. Soner, Ginzburg-Landau equation and motion by mean curvature, I: convergence; II: Development of the initial interface, J. Geom. Anal, in press.
    • J. Geom. Anal
    • Soner, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.