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Volumn 13, Issue 5, 2005, Pages 1235-1246

Front propagation for a jump process model arising in spatial ecology

Author keywords

Ecology; Front propagation; Hamilton Jacobi equation; Homogenization; Jump processes

Indexed keywords


EID: 28444474194     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.13.1235     Document Type: Article
Times cited : (28)

References (24)
  • 1
    • 0003267441 scopus 로고    scopus 로고
    • Solutions de viscosité et équations de Hamilton-Jacobi
    • Springer-Verlag
    • Barles, G. Solutions de viscosité et équations de Hamilton-Jacobi. Collec. SMAI, Springer-Verlag (2002).
    • (2002) Collec. SMAI
    • Barles, G.1
  • 2
    • 0039070063 scopus 로고
    • A remark on the asymptotic behavior of the solution of the KPP equation
    • Barles, G.; Souganidis, P. E. A remark on the asymptotic behavior of the solution of the KPP equation. C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), no. 7, 679-684.
    • (1994) C. R. Acad. Sci. Paris Sér. I Math. , vol.319 , Issue.7 , pp. 679-684
    • Barles, G.1    Souganidis, P.E.2
  • 3
    • 0001087942 scopus 로고
    • Wavefront propagation for reaction diffusion systems of PDE
    • Barles, G.; Evans, L. C.; Souganidis, P. E. Wavefront propagation for reaction diffusion systems of PDE. Duke Math. J. 61 (1990) 835-858.
    • (1990) Duke Math. J. , vol.61 , pp. 835-858
    • Barles, G.1    Evans, L.C.2    Souganidis, P.E.3
  • 4
    • 0040962337 scopus 로고    scopus 로고
    • Front propagation for reaction-diffusion equations arising in combustion theory
    • Barles, G.; Souganidis, P. E. Front propagation for reaction-diffusion equations arising in combustion theory. Asymptotic Analysis 14 (1997), 277-292.
    • (1997) Asymptotic Analysis , vol.14 , pp. 277-292
    • Barles, G.1    Souganidis, P.E.2
  • 5
    • 0041704608 scopus 로고    scopus 로고
    • Travelling fronts in integro-differential equations
    • Coville, J.; Dupaigne, L. Travelling fronts in integro-differential equations. C. R. Math. Acad. Sci. Paris 337 (2003), no. 1, 25-30.
    • (2003) C. R. Math. Acad. Sci. Paris , vol.337 , Issue.1 , pp. 25-30
    • Coville, J.1    Dupaigne, L.2
  • 6
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • Crandall, M. G.; Lions P.-L. User's guide to viscosity solutions of second order partial differential equations. Bull. Amer. Math. Soc. 27 (1992), 1-67.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Lions, P.-L.2
  • 7
    • 0000360728 scopus 로고
    • On the bounded solution of a nonlinear convolution equation
    • Diekmann, O. On the bounded solution of a nonlinear convolution equation. Nonlinear Analysis T. M. A. 2 No. 6 (1978), 721-737.
    • (1978) Nonlinear Analysis T. M. A. , vol.2 , Issue.6 , pp. 721-737
    • Diekmann, O.1
  • 8
    • 0018184969 scopus 로고
    • Thresholds and travelling waves for the geographical spread of infection
    • Diekmann, O. Thresholds and travelling waves for the geographical spread of infection. J. Math. Biology 6 (1978), 109-130.
    • (1978) J. Math. Biology , vol.6 , pp. 109-130
    • Diekmann, O.1
  • 9
    • 0001944424 scopus 로고
    • Run for your life. A note on the asymptotic speed of propagation of an epidemic
    • Diekmann, O. Run for your life. A note on the asymptotic speed of propagation of an epidemic. J. Diff. Eq. 33 No 1 (1979), 58-73.
    • (1979) J. Diff. Eq. , vol.33 , Issue.1 , pp. 58-73
    • Diekmann, O.1
  • 10
    • 18844400055 scopus 로고    scopus 로고
    • The dynamics of adaptation: An illuminating example and a Hamilton-Jacobi approach
    • Diekmann, O.; Jabin, P.-E.; Mischler, D.; Perthame B. The dynamics of adaptation: an illuminating example and a Hamilton-Jacobi approach. Th. Pop. Biol. (2005).
    • (2005) Th. Pop. Biol.
    • Diekmann, O.1    Jabin, P.-E.2    Mischler, D.3    Perthame, B.4
  • 11
    • 84968494996 scopus 로고
    • Crabgrass, measles, and gypsy moths: An introduction to modern probability
    • Durrett, R. Crabgrass, measles, and gypsy moths: an introduction to modern probability. Bull. Amer. Math. Soc. (N.S.) 18 (1988), No. 2, 117-143.
    • (1988) Bull. Amer. Math. Soc. (N.S.) , vol.18 , Issue.2 , pp. 117-143
    • Durrett, R.1
  • 12
    • 0002758518 scopus 로고
    • Ten lectures on particle systems. Lectures on probability theory
    • Saint-Flour, Springer, Berlin
    • Durrett, R. Ten lectures on particle systems. Lectures on probability theory (Saint-Flour, 1993), 97-201, Lecture Notes in Math., 1608, Springer, Berlin, 1995.
    • (1993) Lecture Notes in Math. , vol.1608 , pp. 97-201
    • Durrett, R.1
  • 13
    • 84971110219 scopus 로고
    • The perturbed test function method for viscosity solutions of nonliner pde
    • Evans, L.C. The perturbed test function method for viscosity solutions of nonliner pde. Proc. Royal Soc. Edinb. 119A (1989) 359-375.
    • (1989) Proc. Royal Soc. Edinb. , vol.119 A , pp. 359-375
    • Evans, L.C.1
  • 14
    • 84974059058 scopus 로고
    • Periodic homogenization of certain fully nonlinear partial differential equations
    • Evans, L.C. Periodic homogenization of certain fully nonlinear partial differential equations. Proc. Royal Soc. Edinb. 120A (1992) 245-265.
    • (1992) Proc. Royal Soc. Edinb. , vol.120 A , pp. 245-265
    • Evans, L.C.1
  • 15
    • 0001649401 scopus 로고
    • A PDE approach to geometric optics for certain reaction-diffusion equations
    • Evans, L.C.; Souganidis, P.E. A PDE approach to geometric optics for certain reaction-diffusion equations. Indiana U. Math J. 38 (1989), 141-172.
    • (1989) Indiana U. Math J. , vol.38 , pp. 141-172
    • Evans, L.C.1    Souganidis, P.E.2
  • 16
    • 0003200789 scopus 로고
    • Functional integration and partial differential equations
    • Princeton University Press, Princeton, NJ
    • Freidlin, M. Functional integration and partial differential equations, Annals of Mathematics Studies 100. Princeton University Press, Princeton, NJ (1985).
    • (1985) Annals of Mathematics Studies , vol.100
    • Freidlin, M.1
  • 17
    • 0003292086 scopus 로고
    • Generalized solutions of Hamilton-Jacobi equations
    • Pitman (Advanced Publishing Program), Boston, Mass.-London
    • Lions, P. - L. Generalized solutions of Hamilton-Jacobi equations. Research Notes in Mathematics, 69. Pitman (Advanced Publishing Program), Boston, Mass.-London, 1982.
    • (1982) Research Notes in Mathematics , pp. 69
    • Lions, P.-L.1
  • 19
    • 17444412675 scopus 로고    scopus 로고
    • Homogeniztion of "viscous" Hamilton-Jacobi equations in stationary ergodic media
    • Lions, P. - L.; Souganidis, P.E. Homogeniztion of "viscous" Hamilton-Jacobi equations in stationary ergodic media. Comm. P. D. E. Vol. 30 (1) (2005).
    • (2005) Comm. P. D. E. , vol.30 , Issue.1
    • Lions, P.-L.1    Souganidis, P.E.2
  • 20
    • 0002558785 scopus 로고
    • Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales
    • Majda, A.; Souganidis, P. E. Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales. Nonlinearity 7 (1994) 1-30.
    • (1994) Nonlinearity , vol.7 , pp. 1-30
    • Majda, A.1    Souganidis, P.E.2
  • 21
    • 0242446784 scopus 로고    scopus 로고
    • Mathematical challenges in spatial ecology
    • Neuhauser, C. Mathematical challenges in spatial ecology, Notices of AMS 48(11) (2002) 1304-1314.
    • (2002) Notices of AMS , vol.48 , Issue.11 , pp. 1304-1314
    • Neuhauser, C.1
  • 22
    • 0003334526 scopus 로고
    • Diffusion and ecological problems: Mathematical models
    • Springer-Verlag, Berlin
    • Okubo, A. Diffusion and ecological problems: mathematical models, Biomathematics 10, Springer-Verlag, Berlin (1980).
    • (1980) Biomathematics , vol.10
    • Okubo, A.1
  • 23
    • 0001940781 scopus 로고    scopus 로고
    • Front propagation: Theory and applications, CIME course on 'Viscosity solutions'
    • Springer-Verlag, Berlin
    • Souganidis, P. E. Front propagation: theory and applications, CIME course on 'Viscosity solutions', Lecture Notes in Math., Springer-Verlag, Berlin (1998).
    • (1998) Lecture Notes in Math.
    • Souganidis, P.E.1
  • 24
    • 0009937623 scopus 로고    scopus 로고
    • Stochastic Homogenization of Hamilton-Jacobi equations and applications
    • Souganidis P. E. Stochastic Homogenization of Hamilton-Jacobi equations and applications, Asympt. Anal. 20 (1999) 1-11.
    • (1999) Asympt. Anal. , vol.20 , pp. 1-11
    • Souganidis, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.