메뉴 건너뛰기




Volumn 188, Issue 2, 2009, Pages 269-295

The principal eigenvalue of a space–time periodic parabolic operator

Author keywords

Generalized principal eigenvalue; Parabolic periodic operator

Indexed keywords


EID: 68849125296     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-008-0075-4     Document Type: Article
Times cited : (73)

References (22)
  • 2
    • 84972514673 scopus 로고
    • Comparison results for elliptic and parabolic equations via symmetrization: a new approach
    • Alvino, A., Trombetti, G., Lions, P.-L.: Comparison results for elliptic and parabolic equations via symmetrization: a new approach. Diff. Int. Eq. 4(1), 25–50 (1991)
    • (1991) Diff. Int. Eq. , vol.4 , Issue.1 , pp. 25-50
    • Alvino, A.1    Trombetti, G.2    Lions, P.-L.3
  • 3
    • 49349119963 scopus 로고
    • Multidimensional nonlinear diffusions arising in population genetics
    • Aronson, D.G., Weinberger, H.F.: Multidimensional nonlinear diffusions arising in population genetics. Adv. Math. 30, 33–76 (1978)
    • (1978) Adv. Math. , vol.30 , pp. 33-76
    • Aronson, D.G.1    Weinberger, H.F.2
  • 4
    • 22244440170 scopus 로고    scopus 로고
    • Analysis of the periodically fragmented environment model: 1-influence of periodic heterogeneous environment on species persistence
    • Berestycki, H., Hamel, F., Roques, L.: Analysis of the periodically fragmented environment model: 1-influence of periodic heterogeneous environment on species persistence. J. Math. Biol. 51, 75–113 (2005)
    • (2005) J. Math. Biol. , vol.51 , pp. 75-113
    • Berestycki, H.1    Hamel, F.2    Roques, L.3
  • 5
    • 16644386250 scopus 로고    scopus 로고
    • Analysis of the periodically fragmented environment model: 2 - biological invasions and pulsating travelling fronts
    • Berestycki, H., Hamel, F., Roques, L.: Analysis of the periodically fragmented environment model: 2 - biological invasions and pulsating travelling fronts. J. Math. Pures Appl. 84, 1101–1146 (2005)
    • (2005) J. Math. Pures Appl. , vol.84 , pp. 1101-1146
    • Berestycki, H.1    Hamel, F.2    Roques, L.3
  • 6
    • 16644384785 scopus 로고    scopus 로고
    • The speed of propagation for kpp type problems. i - periodic framework
    • Berestycki, H., Hamel, F., Nadirashvili, N.: The speed of propagation for kpp type problems. i - periodic framework. J. Eur. Math. Soc. 7, 173–213 (2005)
    • (2005) J. Eur. Math. Soc. , vol.7 , pp. 173-213
    • Berestycki, H.1    Hamel, F.2    Nadirashvili, N.3
  • 7
    • 34247526880 scopus 로고    scopus 로고
    • Liouville—type results for semilinear elliptic equations in unbounded domains
    • Berestycki, H., Hamel, F., Rossi, L.: Liouville—type results for semilinear elliptic equations in unbounded domains. Ann. Math. Pura Appl. 186, 469–507 (2007)
    • (2007) Ann. Math. Pura Appl. , vol.186 , pp. 469-507
    • Berestycki, H.1    Hamel, F.2    Rossi, L.3
  • 8
    • 84990602584 scopus 로고
    • The principal eigenvalue and maximum principle for second order elliptic operators in general domains
    • Berestycki, H., Nirenberg, L., Varadhan, S.R.S.: The principal eigenvalue and maximum principle for second order elliptic operators in general domains. Comm. Pure Appl. Math. 47, 47–92 (1994)
    • (1994) Comm. Pure Appl. Math. , vol.47 , pp. 47-92
    • Berestycki, H.1    Nirenberg, L.2    Varadhan, S.R.S.3
  • 9
    • 0000883114 scopus 로고
    • Diffusive logistic equations with indefinite weights: population models in disrupted environments
    • Cantrell, R.S., Cosner, C.: Diffusive logistic equations with indefinite weights: population models in disrupted environments. Proc. R. Soc. Edinb 112, 293–318 (1989)
    • (1989) Proc. R. Soc. Edinb , vol.112 , pp. 293-318
    • Cantrell, R.S.1    Cosner, C.2
  • 11
    • 0000268135 scopus 로고
    • The advance of advantageous genes
    • Fisher, R.A.: The advance of advantageous genes. Ann. Eugen. 7, 335–369 (1937)
    • (1937) Ann. Eugen. , vol.7 , pp. 335-369
    • Fisher, R.A.1
  • 12
    • 0008835676 scopus 로고
    • On the propagation of concentration waves in periodic and random media
    • Freidlin, M., Gartner, J.: On the propagation of concentration waves in periodic and random media. Sov. Math. Dokl. 20, 1282–1286 (1979)
    • (1979) Sov. Math. Dokl. , vol.20 , pp. 1282-1286
    • Freidlin, M.1    Gartner, J.2
  • 13
    • 14544296980 scopus 로고    scopus 로고
    • An isoperimetric inequality for the principal eigenvalue of the laplacian with drift
    • Hamel, F., Nadirashvili, N., Russ, E.: An isoperimetric inequality for the principal eigenvalue of the laplacian with drift. C.R. Acad. Sci. Paris Ser. I 340, 347–352 (2005)
    • (2005) C.R. Acad. Sci. Paris Ser. I , vol.340 , pp. 347-352
    • Hamel, F.1    Nadirashvili, N.2    Russ, E.3
  • 16
    • 0035747963 scopus 로고    scopus 로고
    • The evolution of dispersal rates in a heterogeneous time-periodic environment
    • Hutson, V., Michaikow, K., Polacik, P.: The evolution of dispersal rates in a heterogeneous time-periodic environment. J. Math. Biol. 43, 501–533 (2001)
    • (2001) J. Math. Biol. , vol.43 , pp. 501-533
    • Hutson, V.1    Michaikow, K.2    Polacik, P.3
  • 17
    • 23044527501 scopus 로고    scopus 로고
    • Estimates for the principal spectrum point for certain time-dependent parabolic operators
    • Hutson, V., Shen, W., Vickers, G.T.: Estimates for the principal spectrum point for certain time-dependent parabolic operators. Proc. A.M.S. 129, 1669–1679 (2000)
    • (2000) Proc. A.M.S. , vol.129 , pp. 1669-1679
    • Hutson, V.1    Shen, W.2    Vickers, G.T.3
  • 18
    • 0013001564 scopus 로고
    • On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems
    • Kawohl, B.: On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems. Arch. Ration. Mech. Anal. 94, 227–243 (1986)
    • (1986) Arch. Ration. Mech. Anal. , vol.94 , pp. 227-243
    • Kawohl, B.1
  • 20
    • 33845907733 scopus 로고    scopus 로고
    • Existence of kpp fronts in spatially-temporally periodic advection and variational principle for propagation speeds
    • Nolen, J., Rudd, M., Xin, J.: Existence of kpp fronts in spatially-temporally periodic advection and variational principle for propagation speeds. Dyn PDE 2(1), 1–24 (2005)
    • (2005) Dyn PDE , vol.2 , Issue.1 , pp. 1-24
    • Nolen, J.1    Rudd, M.2    Xin, J.3
  • 21
    • 0040970045 scopus 로고
    • Second order elliptic operator with periodic coefficients: criticality theory, perturbations, and positive harmonic functions
    • Pinsky, R.: Second order elliptic operator with periodic coefficients: criticality theory, perturbations, and positive harmonic functions. J. Func. Anal. 129, 80– (1995)
    • (1995) J. Func. Anal. , vol.129 , pp. 80-107
    • Pinsky, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.