메뉴 건너뛰기




Volumn 132, Issue 6, 2004, Pages 1755-1760

Backward uniqueness for solutions of linear parabolic equations

Author keywords

Backward stability; Backward uniqueness; Parabolic equation; Parabolic inequalities

Indexed keywords


EID: 2442701410     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-03-07355-6     Document Type: Conference Paper
Times cited : (9)

References (10)
  • 1
    • 0346101129 scopus 로고
    • Unicité et convexité dans les problèmes différentiels
    • [A] (Eté, 1965), Les Presses de l'Université de Montréal, Montreal, Quebec. MR 40:6025
    • [A] S. Agmon, Unicité et convexité dans les problèmes différentiels, Séminaire de Mathématiques Supérieures, No. 13 (Eté, 1965), Les Presses de l'Université de Montréal, Montreal, Quebec, 1966. MR 40:6025
    • (1966) Séminaire de Mathématiques Supérieures , vol.13
    • Agmon, S.1
  • 2
    • 84980079270 scopus 로고
    • Properties of solutions of ordinary differential equations in banach space
    • [AN1]. MR 27:5142
    • [AN1] S. Agmon and L. Nirenberg, Properties of solutions of ordinary differential equations in Banach space, Comm. Pure Appl. Math. 16 (1963), 121-239. MR 27:5142
    • (1963) Comm. Pure Appl. Math. , vol.16 , pp. 121-239
    • Agmon, S.1    Nirenberg, L.2
  • 3
    • 84981761614 scopus 로고
    • Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space
    • [AN2]. MR 34:4665
    • [AN2] S. Agmon and L. Nirenberg, Lower bounds and uniqueness theorems for solutions of differential equations in a Hilbert space, Comm. Pure Appl. Math. 20 (1967), 207-229. MR 34:4665
    • (1967) Comm. Pure Appl. Math. , vol.20 , pp. 207-229
    • Agmon, S.1    Nirenberg, L.2
  • 4
    • 0015768944 scopus 로고
    • Sur l'unicité rétrograde des équations paraboliques et quelques questions voisines
    • [BT]. MR 49:3281
    • [BT] C. Bardos and L. Tartar, Sur l'unicité rétrograde des équations paraboliques et quelques questions voisines, Arch. Rational Mech. Anal. 50 (1973), 10-25. MR 49:3281
    • (1973) Arch. Rational Mech. Anal. , vol.50 , pp. 10-25
    • Bardos, C.1    Tartar, L.2
  • 5
    • 0034660768 scopus 로고    scopus 로고
    • Carleman inequalities and the heat operator
    • [E]. MR 2001m:35135
    • [E] L. Escauriaza, Carleman inequalities and the heat operator, Duke Math. J. 104 (2000), 113-127. MR 2001m:35135
    • (2000) Duke Math. J. , vol.104 , pp. 113-127
    • Escauriaza, L.1
  • 6
    • 0040485133 scopus 로고    scopus 로고
    • Carleman inequalities and the heat operator. II
    • [EV]. MR 2003b:35088
    • [EV] L. Escauriaza and L. Vega, Carleman inequalities and the heat operator. II, Indiana Univ. Math. J. 50 (2001), 1149-1169. MR 2003b:35088
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1149-1169
    • Escauriaza, L.1    Vega, L.2
  • 7
    • 0342670035 scopus 로고
    • Some backward uniqueness results
    • [G]. MR 87m:34083
    • [G] J.-M. Ghidaglia, Some backward uniqueness results, Nonlinear Anal. 10 (1986), 777-790. MR 87m:34083
    • (1986) Nonlinear Anal. , vol.10 , pp. 777-790
    • Ghidaglia, J.-M.1
  • 8
    • 84980089565 scopus 로고
    • A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
    • [L]. MR 19:281a
    • [L] P. D. Lax, A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations. Comm. Pure Appl. Math. 9 (1956), 747-766. MR 19:281a
    • (1956) Comm. Pure Appl. Math. , vol.9 , pp. 747-766
    • Lax, P.D.1
  • 9
    • 84972525904 scopus 로고
    • Unique continuation for parabolic differential equations and inequalities
    • [LP]. MR 25:4254
    • [LP] M. Lees and M. H. Protter, Unique continuation for parabolic differential equations and inequalities, Duke Math. J. 28 (1961), 369-382. MR 25:4254
    • (1961) Duke Math. J. , vol.28 , pp. 369-382
    • Lees, M.1    Protter, M.H.2
  • 10
    • 0000492922 scopus 로고
    • Properties of solutions of parabolic equations and inequalities
    • [P]. MR 27:3943
    • [P] M. H. Protter, Properties of solutions of parabolic equations and inequalities, Canad. J. Math. 13 (1961), 331-345. MR 27:3943
    • (1961) Canad. J. Math. , vol.13 , pp. 331-345
    • Protter, M.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.