메뉴 건너뛰기




Volumn 6, Issue 5, 2000, Pages 467-481

Heat-Kernels and Maximal LP-Lq-Estimates: The Non-Autonomous Case

Author keywords

Heat kernel estimates; Maximal lp Lq regularity; Non autonomous cauchy problem; Singular integrals

Indexed keywords


EID: 0346056028     PISSN: 02182165     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (22)
  • 1
    • 0002417157 scopus 로고
    • A unified approach to abstract linear nonautonomous parabolic equations
    • Acquistapace, P. and Terreni, B. (1987). A unified approach to abstract linear nonautonomous parabolic equations, Rend. Sem. Mat. Univ. Padova, 78, 47-107.
    • (1987) Rend. Sem. Mat. Univ. Padova , vol.78 , pp. 47-107
    • Acquistapace, P.1    Terreni, B.2
  • 3
    • 0001861262 scopus 로고    scopus 로고
    • Gaussian estimates for second order elliptic operators with boundary conditions
    • Arendt, W. and terElst, A.F.M. (1997). Gaussian estimates for second order elliptic operators with boundary conditions, J. Op. Theory, 38, 87-130.
    • (1997) J. Op. Theory , vol.38 , pp. 87-130
    • Arendt, W.1    Terelst, A.F.M.2
  • 4
    • 84968488966 scopus 로고
    • Bounds for the fundamental solution of a parabolic equation
    • Aronson, D.G. (1967). Bounds for the fundamental solution of a parabolic equation, Bull. Am. Math. Soc., 73, 890-896.
    • (1967) Bull. Am. Math. Soc. , vol.73 , pp. 890-896
    • Aronson, D.G.1
  • 5
    • 51249167521 scopus 로고
    • Global existence for a semilinear parabolic Volterra equation
    • Clément, P. and Prüss, J. (1992). Global existence for a semilinear parabolic Volterra equation, Math. Z, 209, 17-26.
    • (1992) Math. Z , vol.209 , pp. 17-26
    • Clément, P.1    Prüss, J.2
  • 7
    • 0347136863 scopus 로고    scopus 로고
    • Maximal regularity and kernel bounds: Observations on a theorem by Hieber and Prüss
    • to appear
    • Coulhon, T. and Duong, X.T. (1999). Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss, Adv. in Differential Equations, (to appear).
    • (1999) Adv. in Differential Equations
    • Coulhon, T.1    Duong, X.T.2
  • 11
    • 0030602110 scopus 로고    scopus 로고
    • Semigroup kernels, Poisson bounds, and holomorphic functional calculus
    • Duong, X.T. and Robinson, D.W. (1996). Semigroup kernels, Poisson bounds, and holomorphic functional calculus, J. Func. Anal., 142, 89-128.
    • (1996) J. Func. Anal. , vol.142 , pp. 89-128
    • Duong, X.T.1    Robinson, D.W.2
  • 12
    • 0002268615 scopus 로고
    • Gaussian upper bounds on fundamental solutions of parabolic equations: The method of Nash
    • Fabes, E. (1992). Gaussian upper bounds on fundamental solutions of parabolic equations: the method of Nash, Springer Lect. Notes in Math. 1565, 1-20.
    • (1992) Springer Lect. Notes in Math. 1565 , pp. 1-20
    • Fabes, E.1
  • 13
    • 0009410998 scopus 로고    scopus 로고
    • Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations
    • to appear
    • Hieber, M. and Monniaux, S. (1999). Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations, Proc. Am. Math. Soc., (to appear).
    • (1999) Proc. Am. Math. Soc.,
    • Hieber, M.1    Monniaux, S.2
  • 17
    • 33646853538 scopus 로고    scopus 로고
    • A theorem of the Dore-Venni type for non-commuting operators
    • Monniaux, S. and Prüss, J. (1997). A theorem of the Dore-Venni type for non-commuting operators, Trans. Am. Math. Soc., 349, 4787-4814.
    • (1997) Trans. Am. Math. Soc. , vol.349 , pp. 4787-4814
    • Monniaux, S.1    Prüss, J.2
  • 18
    • 0042761724 scopus 로고    scopus 로고
    • Semigroup methods to solve non-autonomous evolution equations
    • to appear
    • Monniaux, S. and Rhandi, A. (1999). Semigroup methods to solve non-autonomous evolution equations, Semigroup Forum, (to appear).
    • (1999) Semigroup Forum
    • Monniaux, S.1    Rhandi, A.2
  • 20
    • 0004136765 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Stein, E.M. (1993). Harmonic Analysis, Princeton University Press, Princeton, NJ.
    • (1993) Harmonic Analysis
    • Stein, E.M.1
  • 22
    • 0013105918 scopus 로고
    • Parabolic evolution equations in which the coefficients are the generators of infinitely differentiable semigroups, II
    • Yagi, A. (1990). Parabolic evolution equations in which the coefficients are the generators of infinitely differentiable semigroups, II, Funkcialaj Ekvacioj, 33, 139-150.
    • (1990) Funkcialaj Ekvacioj , vol.33 , pp. 139-150
    • Yagi, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.