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Volumn 149, Issue 3, 2004, Pages 815-821

Evolution equations without semigroups

Author keywords

Cauchy problem; Closed operators; Evolution equations; Partial differential equations

Indexed keywords

INTEGRATION; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0345867024     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00187-5     Document Type: Article
Times cited : (6)

References (12)
  • 1
    • 51249083424 scopus 로고
    • On the initial value problem for a partial differential equation with operator coefficients
    • El-Borai M.M. On the initial value problem for a partial differential equation with operator coefficients. Int. J. Math. Math. Sci. 3:1980;103-111.
    • (1980) Int. J. Math. Math. Sci. , vol.3 , pp. 103-111
    • El-Borai, M.M.1
  • 2
    • 0346168912 scopus 로고
    • On the correct formulation of the Cauchy problem
    • El-Borai M.M. On the correct formulation of the Cauchy problem. Vectnik Moscow Univ. 4:1988;15-21.
    • (1988) Vectnik Moscow Univ. , vol.4 , pp. 15-21
    • El-Borai, M.M.1
  • 3
    • 84956443302 scopus 로고
    • On the correct formulation of the Cauchy and mixed problems for a self-adjoint-equations
    • El-Borai M.M. On the correct formulation of the Cauchy and mixed problems for a self-adjoint-equations. Vectnik Moscow Univ. 4:1967.
    • (1967) Vectnik Moscow Univ. , vol.4
    • El-Borai, M.M.1
  • 4
    • 0003737629 scopus 로고
    • New York: Robert E. Krieger Publishing Company
    • Fridman A. Partial differential equations. 1976;Robert E. Krieger Publishing Company, New York. pp. 101-102.
    • (1976) Partial Differential Equations , pp. 101-102
    • Fridman, A.1
  • 6
    • 0003230949 scopus 로고
    • Functional analysis and semi-groups
    • Providence, RI: Amer. Math. Society, Rev. ed.
    • Hill E., Phillips R.S. Functional analysis and semi-groups. Amer. Math. Soc. Coll. Publ., vol. 31, Rev. ed. 1957;Amer. Math. Society, Providence, RI.
    • (1957) Amer. Math. Soc. Coll. Publ. , vol.31
    • Hill, E.1    Phillips, R.S.2
  • 7
    • 0347429939 scopus 로고
    • The application of the semi-group theory to the study of differential equations in Banach spaces
    • Solomiak M.Z. The application of the semi-group theory to the study of differential equations in Banach spaces. Daklady Akad, Nauk. SSSR. 122:1958;766-769.
    • (1958) Daklady Akad, Nauk. SSSR , vol.122 , pp. 766-769
    • Solomiak, M.Z.1
  • 8
    • 84972562185 scopus 로고
    • On the abstract evolution equation
    • Kato T., Tanab H. On the abstract evolution equation. Osaka Math. J. 14:1962;107-133.
    • (1962) Osaka Math. J. , vol.14 , pp. 107-133
    • Kato, T.1    Tanab, H.2
  • 9
    • 0039750412 scopus 로고
    • Cauchy problem for abstract evolution equations of parabolic type
    • Kawatsu S. Cauchy problem for abstract evolution equations of parabolic type. J. Math. Kyoto Univ. (JMKYAZ). 30:1990;59-91.
    • (1990) J. Math. Kyoto Univ. (JMKYAZ) , vol.30 , pp. 59-91
    • Kawatsu, S.1
  • 10
    • 0015740820 scopus 로고
    • Some nonexistence and instabiltiy theorems for formally parabolic equation
    • Levine H.A. Some nonexistence and instabiltiy theorems for formally parabolic equation. Arch. Rat. Mech. Anal. 51:1973;371-386.
    • (1973) Arch. Rat. Mech. Anal. , vol.51 , pp. 371-386
    • Levine, H.A.1
  • 11
    • 84968476629 scopus 로고
    • Instability and nonexistence of global solutions to nonlinear wave equations
    • Levine H.A. Instability and nonexistence of global solutions to nonlinear wave equations. Trans. Am. Math. Soc. 192:1994;1-121.
    • (1994) Trans. Am. Math. Soc. , vol.192 , pp. 1-121
    • Levine, H.A.1
  • 12
    • 0342478588 scopus 로고
    • Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficient
    • Levine H.A. Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: the method of unbounded Fourier coefficient. Math. Anal. 214:1975;205-220.
    • (1975) Math. Anal. , vol.214 , pp. 205-220
    • Levine, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.