메뉴 건너뛰기




Volumn 22, Issue 9-10, 1997, Pages 1647-1669

Heat kernels and maximal Lp-Lq estimates for parabolic evolution equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001098734     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309708821314     Document Type: Article
Times cited : (309)

References (30)
  • 6
  • 7
    • 0002600360 scopus 로고
    • Abstract parabolic quasilinear equations and applications to a ground water flow problem
    • Ph. Clément, S. Li, Abstract parabolic quasilinear equations and applications to a ground water flow problem. Adv. Math. Sci. Appl. 3, (1993/94), 17-32.
    • (1993) Adv. Math. Sci. Appl. , vol.3 , pp. 17-32
    • Clément, Ph.1    Li, S.2
  • 8
    • 0003232322 scopus 로고
    • Analyse harmonique non-commutative sur certain espaces homogenes
    • Berlin
    • R.R. Coifman, G. Weiss. Analyse Harmonique Non-Commutative sur Certain Espaces Homogenes. Springer LN Math. 242, Berlin, (1971).
    • (1971) Springer LN Math. , vol.242
    • Coifman, R.R.1    Weiss, G.2
  • 9
    • 0000645247 scopus 로고
    • p pour les équations d'évolution
    • B. Beauzamy, B. Maurey, G. Pisier (eds.)
    • p pour les équations d'évolution. In: B. Beauzamy, B. Maurey, G. Pisier (eds.) Seminaire d'Analyse Fonctionelle 1984/85; Publ. Math. Univ. Paris VII 26, (1986), 155-165.
    • (1984) Seminaire d'Analyse Fonctionelle
    • Coulhon, T.1    Lamberton, D.2
  • 10
    • 0000645247 scopus 로고
    • p pour les équations d'évolution. In: B. Beauzamy, B. Maurey, G. Pisier (eds.) Seminaire d'Analyse Fonctionelle 1984/85; Publ. Math. Univ. Paris VII 26, (1986), 155-165.
    • (1986) Publ. Math. Univ. Paris VII , vol.26 , pp. 155-165
  • 11
    • 0000373701 scopus 로고
    • Sommes d'opérateurs linéaires et équations différentielles opérationnelles
    • G. Da Prato, P. Grisvard, Sommes d'opérateurs linéaires et équations différentielles opérationnelles. J. Math. Pure Appl. 54 (1975), 305-387.
    • (1975) J. Math. Pure Appl. , vol.54 , pp. 305-387
    • Da Prato, G.1    Grisvard, P.2
  • 13
    • 0002158717 scopus 로고
    • Un applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
    • L. de Simon, Un applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine. Rend. Sem. Mat. Univ. Padova 34 (1964), 547-558.
    • (1964) Rend. Sem. Mat. Univ. Padova , vol.34 , pp. 547-558
    • De Simon, L.1
  • 14
    • 0002776551 scopus 로고
    • p regularity for abstract differential equations
    • H. Komatsu (ed.) Functional Analysis and Related Topics, Berlin
    • p Regularity for abstract differential equations. In: H. Komatsu (ed.) Functional Analysis and Related Topics, 1991, Springer LN 1540. Berlin, (1993), 25-38.
    • (1991) Springer LN , vol.1540 , pp. 25-38
    • Dore, G.1
  • 15
    • 0037874989 scopus 로고
    • On the closedness of the sum of two operators
    • G. Dore, A. Verini, On the closedness of the sum of two operators. Math. Z. 196 (1987), 189-201.
    • (1987) Math. Z. , vol.196 , pp. 189-201
    • Dore, G.1    Verini, A.2
  • 16
    • 0030602110 scopus 로고    scopus 로고
    • Semigroup kernels, poisson bounds, and holomorphic functional calculus
    • X.T. Duong, D.W. Robinson, Semigroup kernels, Poisson bounds, and holomorphic functional calculus. J. Func. Anal. 142, (1996), 89-128.
    • (1996) J. Func. Anal. , vol.142 , pp. 89-128
    • Duong, X.T.1    Robinson, D.W.2
  • 19
    • 0011259060 scopus 로고
    • Green's matrices of boundary value problems for Petrovskii parabolic systems of general form. I
    • S.D. Ivasisien, Green's matrices of boundary value problems for Petrovskii parabolic systems of general form. I. Math. USSR Sbornik 42, (1982), 93-144.
    • (1982) Math. USSR Sbornik , vol.42 , pp. 93-144
    • Ivasisien, S.D.1
  • 23
    • 0041039632 scopus 로고    scopus 로고
    • unpublished manuscript
    • G. Pisier, unpublished manuscript.
    • Pisier, G.1
  • 25
    • 85016600983 scopus 로고
    • Schrödinger semigroups
    • B. Simon, Schrödinger semigroups, Bull. Am. Math. Soc. 7, (1982), 447-526.
    • (1982) Bull. Am. Math. Soc. , vol.7 , pp. 447-526
    • Simon, B.1
  • 26
    • 0011695035 scopus 로고
    • Coerciveness inequalities for abstract parabolic equations
    • P.E. Sobolevskii, Coerciveness inequalities for abstract parabolic equations. Soviet Math. Dokl. 5 (1964), 894-897.
    • (1964) Soviet Math. Dokl. , vol.5 , pp. 894-897
    • Sobolevskii, P.E.1
  • 27
    • 0002042250 scopus 로고
    • On boundary value problems for linear parabolic systems of differential equations of general form
    • V.A. Solonnikov, On boundary value problems for linear parabolic systems of differential equations of general form . Trudy Mat. Inst. Steklov 83 (1965); English transl., Proc. Steklov Inst. Math. 83 (1965).
    • (1965) Trudy Mat. Inst. Steklov , vol.83
    • Solonnikov, V.A.1
  • 28
    • 0039852722 scopus 로고
    • V.A. Solonnikov, On boundary value problems for linear parabolic systems of differential equations of general form . Trudy Mat. Inst. Steklov 83 (1965); English transl., Proc. Steklov Inst. Math. 83 (1965).
    • (1965) Proc. Steklov Inst. Math. , vol.83
  • 30
    • 0039260995 scopus 로고
    • p estimates for parabolic equations
    • p estimates for parabolic equations. J. London Math. Soc. 25 (1982), 483-497.
    • (1982) J. London Math. Soc. , vol.25 , pp. 483-497
    • Von Wahl, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.