메뉴 건너뛰기




Volumn 127, Issue 2, 1997, Pages 423-439

On gradients of approximate travelling waves for generalised KPP equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 21744451099     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500023738     Document Type: Article
Times cited : (7)

References (21)
  • 2
    • 0040030833 scopus 로고
    • The diffusion equation and classical mechanics: An elementary formula
    • Stochastic Processes in Quantum Physics, eds S. Albeverio et al. Berlin: Springer
    • K. D. Elworthy and A. Truman. The diffusion equation and classical mechanics: an elementary formula. In Stochastic Processes in Quantum Physics, eds S. Albeverio et al. Lecture Notes in Physics 173, 136-46 (Berlin: Springer, 1982).
    • (1982) Lecture Notes in Physics , vol.173 , pp. 136-146
    • Elworthy, K.D.1    Truman, A.2
  • 4
    • 0028768499 scopus 로고
    • Approximate travelling waves for the generalized KPP equations and classical mechanics
    • K. D. Elworthy, A. Truman, H. Z. Zhao and J. G. Gaines. Approximate travelling waves for the generalized KPP equations and classical mechanics. Proc. Roy. Soc. London Ser. A 446 (1994), 529-54.
    • (1994) Proc. Roy. Soc. London Ser. A , vol.446 , pp. 529-554
    • Elworthy, K.D.1    Truman, A.2    Zhao, H.Z.3    Gaines, J.G.4
  • 5
    • 0000031706 scopus 로고
    • Formulae for the derivatives of heat semigroups
    • K. D. Elworthy and X.-M. Li. Formulae for the derivatives of heat semigroups. J. Funct. Anal. 125 (1994), 252-86.
    • (1994) J. Funct. Anal. , vol.125 , pp. 252-286
    • Elworthy, K.D.1    Li, X.-M.2
  • 6
    • 0001649401 scopus 로고
    • A PDE approach to geometric optics for certain semilinear parabolic equations
    • L. C. Evans and P. E. Sougandis. A PDE approach to geometric optics for certain semilinear parabolic equations. Indiana Univ. Math. J. 38 (1989), 141-72.
    • (1989) Indiana Univ. Math. J. , vol.38 , pp. 141-172
    • Evans, L.C.1    Sougandis, P.E.2
  • 10
    • 0040185425 scopus 로고
    • Semilinear PDEs and Limit Theorem for Large Deviations
    • Berlin: Springer
    • M. I. Freidlin. Semilinear PDEs and Limit Theorem for Large Deviations, Lecture Notes in Mathematics 1527, 1-109 (Berlin: Springer, 1992).
    • (1992) Lecture Notes in Mathematics , vol.1527 , pp. 1-109
    • Freidlin, M.I.1
  • 11
    • 22244434612 scopus 로고
    • Some general properties of evolution processes quasi-deterministic approximation
    • eds M. Mebkhout and R. Seneor, Singapore: World Scientific
    • M. I. Freidlin. Some general properties of evolution processes quasi-deterministic approximation. In Proceedings of the VIIIth International Congress on Mathematical Physics, eds M. Mebkhout and R. Seneor, 470-81 (Singapore: World Scientific, 1987).
    • (1987) Proceedings of the VIIIth International Congress on Mathematical Physics , pp. 470-481
    • Freidlin, M.I.1
  • 13
    • 0039046947 scopus 로고
    • The branching diffusion, stochastic equations and travelling wave solutions to Kolmogoroff-Petrovskii-Piskunoff
    • eds. N. Boccara, E. Goles, S. Martinez and P. Picco, Dordrecht: Kluwer
    • F. I. Karpelevich, M. Ya Kelbert and Yu. M. Suhov. The branching diffusion, stochastic equations and travelling wave solutions to Kolmogoroff-Petrovskii-Piskunoff. In Cellular Automata and Cooperative Systems, eds. N. Boccara, E. Goles, S. Martinez and P. Picco, 333-66 (Dordrecht: Kluwer, 1993).
    • (1993) Cellular Automata and Cooperative Systems , pp. 333-366
    • Karpelevich, F.I.1    Ya Kelbert, M.2    Suhov, Yu.M.3
  • 14
    • 0002722044 scopus 로고
    • Study of the diffusion equation with growth of the quantity of matter and its application to a biology problem
    • A. Kolmogoroff, I. Petrovsky and N. Piscounoff. Study of the diffusion equation with growth of the quantity of matter and its application to a biology problem. Moscow Univ. Bull. Math. 1 (1937), 1-25.
    • (1937) Moscow Univ. Bull. Math. , vol.1 , pp. 1-25
    • Kolmogoroff, A.1    Petrovsky, I.2    Piscounoff, N.3
  • 15
    • 0004243252 scopus 로고
    • ed. Pierre Pelce, 105-30 New York: Academic Press
    • (English translation: in Dynamics of Curved Front, ed. Pierre Pelce, 105-30 (New York: Academic Press, 1988).)
    • (1988) Dynamics of Curved front
  • 16
    • 0007346583 scopus 로고    scopus 로고
    • The smooth convergence of the solutions of reaction diffusion equations with small parameter
    • X.-M. Li and H. Z. Zhao. The smooth convergence of the solutions of reaction diffusion equations with small parameter. Nonlinearity 9 (1996), 459-77.
    • (1996) Nonlinearity , vol.9 , pp. 459-477
    • Li, X.-M.1    Zhao, H.Z.2
  • 17
    • 84980187449 scopus 로고
    • Application of Brownian motion to the equation of Kolmogoroff-Petrovskii-Piskunoff
    • H. P. McKean. Application of Brownian motion to the equation of Kolmogoroff-Petrovskii-Piskunoff. Comm. Pure Appl. Math. 28 (1975), 323-31.
    • (1975) Comm. Pure Appl. Math. , vol.28 , pp. 323-331
    • McKean, H.P.1
  • 19
    • 0030547154 scopus 로고    scopus 로고
    • On stochastic diffusion equations and stochastic Burgers' equations
    • A. Truman and H. Z. Zhao. On stochastic diffusion equations and stochastic Burgers' equations. J. Math. Phys. 37 (1996), 283-307.
    • (1996) J. Math. Phys. , vol.37 , pp. 283-307
    • Truman, A.1    Zhao, H.Z.2
  • 21
    • 0039503165 scopus 로고
    • The travelling wave solutions of scalar generalized KPP equations via classical mechanics and stochastic approaches
    • eds A. Truman and I. M. Davies, Singapore: World Scientific
    • H. Z. Zhao and K. D. Elworthy. The travelling wave solutions of scalar generalized KPP equations via classical mechanics and stochastic approaches. In Stochastics and Quantum Mechanics, eds A. Truman and I. M. Davies, 298-316 (Singapore: World Scientific, 1992).
    • (1992) Stochastics and Quantum Mechanics , pp. 298-316
    • Zhao, H.Z.1    Elworthy, K.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.