메뉴 건너뛰기




Volumn 127, Issue 2, 1999, Pages 473-479

The saddle point property for focusing selfsimilar solutions in a free boundary problem

Author keywords

Analytic semigroups; Free boundary problem; Fully nonlinear equations; Linearization; Saddle point property; Similarity variables

Indexed keywords


EID: 0042975545     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-99-04829-7     Document Type: Article
Times cited : (4)

References (13)
  • 1
    • 84966256810 scopus 로고
    • Analyticity of the interfaces of the porous media equation after the waiting time
    • MR 89f:35103
    • S.B. Angenent, Analyticity of the interfaces of the porous media equation after the waiting time, Proc. A.M.S. 102, pp 329-336, 1988. MR 89f:35103
    • (1988) Proc. A.M.S. , vol.102
    • Angenent, S.B.1
  • 2
    • 0010863639 scopus 로고
    • The well-posedness of a free boundary problem arising in combustion theory
    • MR 95j:35241
    • M. Bertsch, D. Hilhorst & C. Schmidt-Lainé, The well-posedness of a free boundary problem arising in combustion theory, Nonl. Anal. 23, pp 1211-1224, 1994. MR 95j:35241
    • (1994) Nonl. Anal. , vol.23
    • Bertsch, M.1    Hilhorst, D.2    Schmidt-Lainé, C.3
  • 3
    • 84966198519 scopus 로고
    • A free boundary problem for the heat equation arising in flame propagation
    • MR 95e:35097
    • L.A. Caffarelli & J.L. Vazquez, A free boundary problem for the heat equation arising in flame propagation, Trans. A.M.S. 347, pp 411-441, 1995. MR 95e:35097
    • (1995) Trans. A.M.S. , vol.347 , pp. 411-441
    • Caffarelli, L.A.1    Vazquez, J.L.2
  • 5
    • 44049110248 scopus 로고
    • Stability of travelling waves with interface conditions
    • MR 93k:35145
    • C.M. Brauner, A. Lunardi & Cl. Schmidt-Lainé, Stability of travelling waves with interface conditions, Nonl. Anal. 19, pp 455-474, 1992. MR 93k:35145
    • (1992) Nonl. Anal. , vol.19 , pp. 455-474
    • Brauner, C.M.1    Lunardi, A.2    Schmidt-Lainé, C.3
  • 6
    • 0002113353 scopus 로고
    • Multidimensional stability analysis of planar travelling waves
    • CMP 96:01
    • C.M. Brauner, A. Lunardi & Cl. Schmidt-Lainé, Multidimensional stability analysis of planar travelling waves, Appl. Math. Lett. 7(5), pp 1-4, 1994. CMP 96:01
    • (1994) Appl. Math. Lett. , vol.7 , Issue.5 , pp. 1-4
    • Brauner, C.M.1    Lunardi, A.2    Schmidt-Lainé, C.3
  • 8
    • 0342674822 scopus 로고
    • Stability of Travelling Waves in a Parabolic Equation with Discontinuous Source Term
    • MR 961:35052
    • C.M. Brauner, J.M. Roquejoffre & Cl. Schmidt-Lainé, Stability of Travelling Waves in a Parabolic Equation with Discontinuous Source Term, Comm. Appl. Nonl. Anal. 2(4), pp 83-100, 1995. MR 961:35052
    • (1995) Comm. Appl. Nonl. Anal. , vol.2 , Issue.4 , pp. 83-100
    • Brauner, C.M.1    Roquejoffre, J.M.2    Schmidt-Lainé, C.3
  • 9
    • 0031232131 scopus 로고    scopus 로고
    • Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem
    • CMP 98:01
    • V.A. Galaktionov, J. Hulshof & J.L. Vazquez, Extinction and focusing behaviour of spherical and annular flames described by a free boundary problem, J. Math. Pures et Appl., (76), pp 563-608, 1997. CMP 98:01
    • (1997) J. Math. Pures Et Appl. , Issue.76 , pp. 563-608
    • Galaktionov, V.A.1    Hulshof, J.2    Vazquez, J.L.3
  • 10
    • 0000725031 scopus 로고
    • An elliptic-parabolic problem in combustion theory: Convergence to travelling waves
    • MR 92g:35242
    • D. Hilhorst fe J. Hulshof, An elliptic-parabolic problem in combustion theory: convergence to travelling waves, Nonl. Anal. 17, pp 519-546, 1991. MR 92g:35242
    • (1991) Nonl. Anal. , vol.17 , pp. 519-546
    • Hilhorst, D.1    Hulshof, J.2
  • 11
    • 0001584255 scopus 로고
    • A free boundary focusing problem
    • MR 94j:35200
    • D. Hilhorst fc J. Hulshof, A free boundary focusing problem, Proc. AMS 121, pp 1193-1202, 1994. MR 94j:35200
    • (1994) Proc. AMS , vol.121 , pp. 1193-1202
    • Hilhorst, D.1    Hulshof, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.