메뉴 건너뛰기




Volumn 192, Issue 2, 2003, Pages 396-428

Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form ut = Lu + Vu - γup in Rn

Author keywords

Cauchy problem; Reaction diffusion equations; Semilinear parabolic equations; Uniqueness nonuniqueness

Indexed keywords


EID: 0041656210     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(03)00089-5     Document Type: Article
Times cited : (13)

References (13)
  • 1
    • 0000447574 scopus 로고
    • n without condition at infinity
    • n without condition at infinity, Appl. Math. Opt. 12 (1984) 271-282.
    • (1984) Appl. Math. Opt. , vol.12 , pp. 271-282
    • Brezis, H.1
  • 2
    • 0034360568 scopus 로고    scopus 로고
    • d for all d≥1- A new probabilistic approach
    • d for all d≥1- a new probabilistic approach, Positivity 4 (2000) 327-337.
    • (2000) Positivity , vol.4 , pp. 327-337
    • Engländer, J.1
  • 3
    • 0038934377 scopus 로고    scopus 로고
    • d with spatially dependent branching
    • d with spatially dependent branching, Ann. Probab. 27 (1999) 684-730.
    • (1999) Ann. Probab. , vol.27 , pp. 684-730
    • Engländer, J.1    Pinsky, R.2
  • 4
    • 0019661804 scopus 로고
    • A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
    • P.C. Fife, J.B. McLeod, A phase plane discussion of convergence to travelling fronts for nonlinear diffusion, Arch. Rat. Mech. Anal. 75 (1981) 281-314.
    • (1981) Arch. Rat. Mech. Anal. , vol.75 , pp. 281-314
    • Fife, P.C.1    McLeod, J.B.2
  • 6
    • 0032346940 scopus 로고    scopus 로고
    • An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations
    • K. Ishige, M. Murata, An intrinsic metric approach to uniqueness of the positive Cauchy problem for parabolic equations, Math. Z. 227 (1998) 313-335.
    • (1998) Math. Z. , vol.227 , pp. 313-335
    • Ishige, K.1    Murata, M.2
  • 7
    • 0000427933 scopus 로고
    • An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry
    • C. Kenig, W.M. Ni, An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry, Amer. J. Math. 106 (1984) 689-702.
    • (1984) Amer. J. Math. , vol.106 , pp. 689-702
    • Kenig, C.1    Ni, W.M.2
  • 10
    • 0033426791 scopus 로고    scopus 로고
    • Initial trace of positive solutions of some nonlinear parabolic equations
    • M. Marcus, L. Veron, Initial trace of positive solutions of some nonlinear parabolic equations, Comm. Partial Differential Equations 24 (1999) 1445-1499.
    • (1999) Comm. Partial Differential Equations , vol.24 , pp. 1445-1499
    • Marcus, M.1    Veron, L.2
  • 11
    • 0000855213 scopus 로고
    • n+2/n-2 = 0, its generalizations and application in geometry
    • n+2/n-2 = 0, its generalizations and application in geometry, Indiana J. Math. 4 (1982) 493-529.
    • (1982) Indiana J. Math. , vol.4 , pp. 493-529
    • Ni, W.M.1
  • 13
    • 0003216520 scopus 로고
    • Topics in Stability and Bifurcation Theory
    • Springer, Berlin
    • D.H. Sattinger, Topics in Stability and Bifurcation Theory, in: Lecture Notes in Mathematics, Vol. 309, Springer, Berlin, 1973.
    • (1973) Lecture Notes in Mathematics , vol.309
    • Sattinger, D.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.