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Volumn 8, Issue 4, 2008, Pages 631-659

Non-autonomous semilinear evolution equations with almost sectorial operators

Author keywords

Domains with a handle; Evolution processes of growth ; Local existence; Non autonomous semilinear parabolic problems

Indexed keywords


EID: 56749102484     PISSN: 14243199     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00028-008-0394-3     Document Type: Article
Times cited : (30)

References (20)
  • 1
    • 0003796630 scopus 로고
    • Academic Press Inc, New York
    • ADAMS, R. A., Sobolev Spaces, Academic Press Inc., New York, 1975.
    • (1975) Sobolev Spaces
    • ADAMS, R.A.1
  • 3
    • 56749102434 scopus 로고    scopus 로고
    • Dynamics in dumbbell domains II: The limiting problem
    • submitted
    • ARRIETA, J., CARVALHO, A. N. and LOZADA- CRUZ, G., Dynamics in dumbbell domains II: The limiting problem, submitted.
    • ARRIETA, J.1    CARVALHO, A.N.2    LOZADA- CRUZ, G.3
  • 4
    • 22844455315 scopus 로고    scopus 로고
    • Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
    • ARRIETA, J. and CARVALHO, A. N., Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations, Trans. Amer. Math. Soc., 352 (2000), 285-310.
    • (2000) Trans. Amer. Math. Soc , vol.352 , pp. 285-310
    • ARRIETA, J.1    CARVALHO, A.N.2
  • 5
    • 56749150526 scopus 로고    scopus 로고
    • Singularly non-autonomous semilinear parabolic problems with critical exponents and applications
    • submitted
    • CARVALHO, A. N. and NASCIMENTO, M. J. D., Singularly non-autonomous semilinear parabolic problems with critical exponents and applications, submitted.
    • CARVALHO, A.N.1    NASCIMENTO, M.J.D.2
  • 12
    • 0038553232 scopus 로고
    • A generation theorem for semigroups of growth order α
    • OKAZAWA, N., A generation theorem for semigroups of growth order α, Tôhoku Math. J., 26 (1974), 39-51.
    • (1974) Tôhoku Math. J , vol.26 , pp. 39-51
    • OKAZAWA, N.1
  • 14
    • 0038392430 scopus 로고    scopus 로고
    • Global existence, uniqueness, and continuous dependence for a semilinear initial value problem
    • PERIAGO, F., Global existence, uniqueness, and continuous dependence for a semilinear initial value problem, J. Math. Anal. Appl., 280 (2003), 413-423.
    • (2003) J. Math. Anal. Appl , vol.280 , pp. 413-423
    • PERIAGO, F.1
  • 15
    • 0037876869 scopus 로고    scopus 로고
    • PERIAGO, F. and STRAUB, B., A functional calculus for almost sectorial operators and applications to abstract evolution equations, J. Evol. Equations, 2 (2002), 41-68.
    • PERIAGO, F. and STRAUB, B., A functional calculus for almost sectorial operators and applications to abstract evolution equations, J. Evol. Equations, 2 (2002), 41-68.
  • 16
    • 0003213155 scopus 로고
    • Equations of parabolic type, in a Banach space
    • SOBOLEVSKIǏ, P. E., Equations of parabolic type, in a Banach space, Amer. Math. Soc. Transl., 49 (1965), 1-62.
    • (1965) Amer. Math. Soc. Transl , vol.49 , pp. 1-62
    • SOBOLEVSKIǏ, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.