메뉴 건너뛰기




Volumn 246, Issue 1, 2009, Pages 261-276

Maximal regularity of second-order equations with delay

Author keywords

Delay differential equations; Operator valued Fourier multipliers

Indexed keywords


EID: 55049107032     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2008.03.034     Document Type: Article
Times cited : (26)

References (32)
  • 1
    • 55049104517 scopus 로고    scopus 로고
    • H. Amann, Quasilinear parabolic functional evolution equations, preprint
    • H. Amann, Quasilinear parabolic functional evolution equations, preprint
  • 2
    • 0003307607 scopus 로고    scopus 로고
    • Vector-Valued Laplace Transforms and Cauchy Problems
    • Birkhäuser, Basel, Boston, Berlin
    • Arendt W., Batty C., Hieber M., and Neubrander F. Vector-Valued Laplace Transforms and Cauchy Problems. Monogr. Math. vol. 96 (2001), Birkhäuser, Basel, Boston, Berlin
    • (2001) Monogr. Math. , vol.96
    • Arendt, W.1    Batty, C.2    Hieber, M.3    Neubrander, F.4
  • 3
    • 0036628277 scopus 로고    scopus 로고
    • The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
    • Arendt W., and Bu S. The operator-valued Marcinkiewicz multiplier theorem and maximal regularity. Math. Z. 240 (2002) 311-343
    • (2002) Math. Z. , vol.240 , pp. 311-343
    • Arendt, W.1    Bu, S.2
  • 5
    • 2442662590 scopus 로고    scopus 로고
    • Operator-valued Fourier multiplier on periodic Besov spaces and applications
    • Arendt W., and Bu S. Operator-valued Fourier multiplier on periodic Besov spaces and applications. Proc. Edinb. Math. Soc. 47 2 (2004) 15-33
    • (2004) Proc. Edinb. Math. Soc. , vol.47 , Issue.2 , pp. 15-33
    • Arendt, W.1    Bu, S.2
  • 6
    • 1842479599 scopus 로고    scopus 로고
    • Fourier multipliers for Hölder continuous functions and maximal regularity
    • Arendt W., Batty C., and Bu S. Fourier multipliers for Hölder continuous functions and maximal regularity. Studia Math. 160 (2004) 23-51
    • (2004) Studia Math. , vol.160 , pp. 23-51
    • Arendt, W.1    Batty, C.2    Bu, S.3
  • 7
    • 0001861262 scopus 로고    scopus 로고
    • Gaussian estimates for second order elliptic operators with boundary conditions
    • Arendt W., and ter Elst A.F.M. Gaussian estimates for second order elliptic operators with boundary conditions. J. Operator Theory 38 (1997) 87-130
    • (1997) J. Operator Theory , vol.38 , pp. 87-130
    • Arendt, W.1    ter Elst, A.F.M.2
  • 8
    • 33748774224 scopus 로고    scopus 로고
    • Hyperbolicity of delay equations via Fourier multipliers
    • Bátkai A., Fašanga E., and Shvidkoy R. Hyperbolicity of delay equations via Fourier multipliers. Acta Sci. Math. (Szeged) 69 (2003) 131-145
    • (2003) Acta Sci. Math. (Szeged) , vol.69 , pp. 131-145
    • Bátkai, A.1    Fašanga, E.2    Shvidkoy, R.3
  • 9
    • 33748758802 scopus 로고    scopus 로고
    • Semigroups for Delay Equations
    • A.K. Peters, Ltd., Boston, MA
    • Bátkai A., and Piazzera S. Semigroups for Delay Equations. Res. Notes Math. vol. 10 (2005), A.K. Peters, Ltd., Boston, MA
    • (2005) Res. Notes Math. , vol.10
    • Bátkai, A.1    Piazzera, S.2
  • 10
    • 27844477793 scopus 로고    scopus 로고
    • p-maximal regularity for second order Cauchy problems
    • p-maximal regularity for second order Cauchy problems. Math. Z. 251 4 (2005) 751-781
    • (2005) Math. Z. , vol.251 , Issue.4 , pp. 751-781
    • Chill, R.1    Srivastava, S.2
  • 12
    • 0242287337 scopus 로고    scopus 로고
    • R-boundedness, Fourier multipliers and problems of elliptic and parabolic type
    • Denk R., Hieber M., and Prüss J. R-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Mem. Amer. Math. Soc. 166 788 (2003)
    • (2003) Mem. Amer. Math. Soc. , vol.166 , Issue.788
    • Denk, R.1    Hieber, M.2    Prüss, J.3
  • 14
    • 28444447137 scopus 로고    scopus 로고
    • Criteria for R-boundedness of operator families
    • Dekker, New York
    • Girardi M., and Weis L. Criteria for R-boundedness of operator families. Lect. Notes Pure Appl. Math. vol. 234 (2003), Dekker, New York 203-221
    • (2003) Lect. Notes Pure Appl. Math. , vol.234 , pp. 203-221
    • Girardi, M.1    Weis, L.2
  • 15
    • 0344981370 scopus 로고    scopus 로고
    • p (X) and geometry of Banach spaces
    • p (X) and geometry of Banach spaces. J. Funct. Anal. 204 2 (2003) 320-354
    • (2003) J. Funct. Anal. , vol.204 , Issue.2 , pp. 320-354
    • Girardi, M.1    Weis, L.2
  • 16
    • 34250511985 scopus 로고
    • A general theory of heat conduction with finite wave speeds
    • Gurtin M., and Pipkin A. A general theory of heat conduction with finite wave speeds. Arch. Ration. Mech. Anal. 31 (1968) 113-126
    • (1968) Arch. Ration. Mech. Anal. , vol.31 , pp. 113-126
    • Gurtin, M.1    Pipkin, A.2
  • 17
    • 0003324723 scopus 로고
    • Introduction to Functional Differential Equations
    • Springer-Verlag
    • Hale J.K., and Verduyn Lunel S.M. Introduction to Functional Differential Equations. Appl. Math. Sci. vol. 99 (1993), Springer-Verlag
    • (1993) Appl. Math. Sci. , vol.99
    • Hale, J.K.1    Verduyn Lunel, S.M.2
  • 20
    • 27844584796 scopus 로고
    • ∞ calculus for second order elliptic operators in divergence form
    • Partial Differential Operators and Mathematical Physics, International conference in Holzhau. Demuth M., et al. (Ed). Germany (1994), Birkhäuser, Basel
    • ∞ calculus for second order elliptic operators in divergence form. In: Demuth M., et al. (Ed). Partial Differential Operators and Mathematical Physics, International conference in Holzhau. Germany (1994). Oper. Theory Adv. Appl. vol. 78 (1995), Birkhäuser, Basel 166-173
    • (1995) Oper. Theory Adv. Appl. , vol.78 , pp. 166-173
    • Hieber, M.1
  • 21
    • 55049123098 scopus 로고    scopus 로고
    • T. Hytönen, R-boundedness and multiplier theorems, Helsinki University of Technology Institute of Mathematics Research Reports
    • T. Hytönen, R-boundedness and multiplier theorems, Helsinki University of Technology Institute of Mathematics Research Reports
  • 22
    • 0034356857 scopus 로고    scopus 로고
    • p-maximal regularity
    • p-maximal regularity. Math. Z. 235 3 (2000) 559-568
    • (2000) Math. Z. , vol.235 , Issue.3 , pp. 559-568
    • Kalton, N.1    Lancien, G.2
  • 23
    • 3042637814 scopus 로고    scopus 로고
    • Fourier multipliers and integro-differential equations in Banach spaces
    • Keyantuo V., and Lizama C. Fourier multipliers and integro-differential equations in Banach spaces. J. London Math. Soc. 69 3 (2004) 737-750
    • (2004) J. London Math. Soc. , vol.69 , Issue.3 , pp. 737-750
    • Keyantuo, V.1    Lizama, C.2
  • 24
    • 17044384229 scopus 로고    scopus 로고
    • Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces
    • Keyantuo V., and Lizama C. Maximal regularity for a class of integro-differential equations with infinite delay in Banach spaces. Studia Math. 168 1 (2005) 25-50
    • (2005) Studia Math. , vol.168 , Issue.1 , pp. 25-50
    • Keyantuo, V.1    Lizama, C.2
  • 25
    • 33748592817 scopus 로고    scopus 로고
    • Hölder continuous solutions for integro-differential equations and maximal regularity
    • Keyantuo V., and Lizama C. Hölder continuous solutions for integro-differential equations and maximal regularity. J. Differential Equations 230 (2006) 634-660
    • (2006) J. Differential Equations , vol.230 , pp. 634-660
    • Keyantuo, V.1    Lizama, C.2
  • 26
    • 55049124362 scopus 로고    scopus 로고
    • Y. Latushkin, F. Räbiger, Fourier multipliers in stability and control theory, preprint
    • Y. Latushkin, F. Räbiger, Fourier multipliers in stability and control theory, preprint
  • 27
    • 33749524563 scopus 로고    scopus 로고
    • Fourier multipliers and periodic solutions of delay equations in Banach spaces
    • Lizama C. Fourier multipliers and periodic solutions of delay equations in Banach spaces. J. Math. Anal. Appl. 324 2 (2006) 921-933
    • (2006) J. Math. Anal. Appl. , vol.324 , Issue.2 , pp. 921-933
    • Lizama, C.1
  • 28
    • 0037610350 scopus 로고    scopus 로고
    • The Theory of Fractional Powers of Operators
    • Elsevier, Amsterdam, London, New York
    • Martinez C., and Sanz M. The Theory of Fractional Powers of Operators. North-Holland Math. Stud. vol. 187 (2001), Elsevier, Amsterdam, London, New York
    • (2001) North-Holland Math. Stud. , vol.187
    • Martinez, C.1    Sanz, M.2
  • 29
    • 0018031320 scopus 로고
    • An integrodifferential equation for rigid heat conductors with memory
    • Miller R. An integrodifferential equation for rigid heat conductors with memory. J. Math. Anal. Appl. 66 (1978) 313-332
    • (1978) J. Math. Anal. Appl. , vol.66 , pp. 313-332
    • Miller, R.1
  • 30
    • 0003334487 scopus 로고
    • Evolutionary Integral Equations and Applications
    • Birkhäuser
    • Prüss J. Evolutionary Integral Equations and Applications. Monogr. Math. vol. 87 (1993), Birkhäuser
    • (1993) Monogr. Math. , vol.87
    • Prüss, J.1
  • 31
    • 0141720029 scopus 로고
    • Fractional powers of coercively positive sums of operators
    • Sobolevskii P. Fractional powers of coercively positive sums of operators. Soviet Math. Dokl. 16 (1975) 1638-1641
    • (1975) Soviet Math. Dokl. , vol.16 , pp. 1638-1641
    • Sobolevskii, P.1
  • 32
    • 0035629005 scopus 로고    scopus 로고
    • p-regularity
    • p-regularity. Math. Ann. 319 (2001) 735-758
    • (2001) Math. Ann. , vol.319 , pp. 735-758
    • Weis, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.