메뉴 건너뛰기




Volumn 4, Issue 4, 2004, Pages 417-430

Maximal regularity for nonautonomous evolution equations

Author keywords

Maximal regularity; Nonautonomous parabolic evolution equations; Perturbation theorems

Indexed keywords


EID: 10944244690     PISSN: 15361365     EISSN: None     Source Type: Journal    
DOI: 10.1515/ans-2004-0404     Document Type: Article
Times cited : (91)

References (23)
  • 1
    • 33645107959 scopus 로고
    • Linear and quasilinear parabolic problems. Vol. I
    • Birkhäuser Boston Inc., Boston, MA. Abstract linear theory
    • H. Amann. Linear and quasilinear parabolic problems. Vol. I, volume 89 of Monographs in Mathematics. Birkhäuser Boston Inc., Boston, MA, 1995. Abstract linear theory.
    • (1995) Volume 89 of Monographs in Mathematics , vol.89
    • Amann, H.1
  • 3
    • 0141425649 scopus 로고    scopus 로고
    • Linear parabolic equations with singular potentials
    • H. Amann. Linear parabolic equations with singular potentials. J. Evol. Equ., 3 (2003), 395-406.
    • (2003) J. Evol. Equ. , vol.3 , pp. 395-406
    • Amann, H.1
  • 4
    • 10944245146 scopus 로고    scopus 로고
    • Nonautonomous parabolic equations involving measures
    • H. Amann. Nonautonomous parabolic equations involving measures. Zapiski Nauchn. Seminar. POMI, 306 (2003), 16-52.
    • (2003) Zapiski Nauchn. Seminar. POMI , vol.306 , pp. 16-52
    • Amann, H.1
  • 7
    • 0038323109 scopus 로고    scopus 로고
    • p-spaces
    • Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), Dekker, New York
    • p-spaces. In Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), volume 215 of Lecture Notes in Pure and Appl. Math., pages 67-87. Dekker, New York, 2001.
    • (2001) Lecture Notes in Pure and Appl. Math. , vol.215 , pp. 67-87
    • Clément, Ph.1    Prüss, J.2
  • 8
    • 0242287337 scopus 로고    scopus 로고
    • R-boundedness, Fourier multipliers and problems of elliptic and parabolic type
    • To appear
    • R. Denk, M. Hieber and J. Prüss. R-boundedness, Fourier multipliers and problems of elliptic and parabolic type. Memoires Amer. Math. Soc., (2003). To appear.
    • (2003) Memoires Amer. Math. Soc.
    • Denk, R.1    Hieber, M.2    Prüss, J.3
  • 9
    • 0002776551 scopus 로고
    • p regularity for abstract differential equations
    • H. Komatsu, editor, Berlin, 1993. Proceedings Kyoto 1991, Lecture Notes in Math. #1540, Springer Verlag
    • p regularity for abstract differential equations. In H. Komatsu, editor, Functional Analysis and Related Topics, 1991, pages 25-38, Berlin, 1993. Proceedings Kyoto 1991, Lecture Notes in Math. #1540, Springer Verlag.
    • (1991) Functional Analysis and Related Topics , pp. 25-38
    • Dore, G.1
  • 10
    • 0037874989 scopus 로고
    • On the closedness of the sum of two dosed operators
    • G. Dore and A. Venni. On the closedness of the sum of two dosed operators. Math. Z., 196 (1987), 189-201.
    • (1987) Math. Z. , vol.196 , pp. 189-201
    • Dore, G.1    Venni, A.2
  • 11
    • 10944260780 scopus 로고    scopus 로고
    • Analytic solutions for the Stefan problem with Gibbs-Thomson correction
    • To appear
    • J. Escher, J. Prüss, and G. Simonett. Analytic solutions for the Stefan problem with Gibbs-Thomson correction. J. reine angew. Math. To appear.
    • J. Reine Angew. Math.
    • Escher, J.1    Prüss, J.2    Simonett, G.3
  • 13
    • 23044520222 scopus 로고    scopus 로고
    • Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations
    • M. Hieber and S. Monniaux. Pseudo-differential operators and maximal regularity results for non-autonomous parabolic equations. Proc. Amer. Math. Soc., 128(4) (2000), 1047-1053.
    • (2000) Proc. Amer. Math. Soc. , vol.128 , Issue.4 , pp. 1047-1053
    • Hieber, M.1    Monniaux, S.2
  • 14
    • 0003209935 scopus 로고
    • Functional analysis and semi-groups
    • Providence, R.I.
    • E. Hille and R.S. Phillips. Functional Analysis and Semi-Groups. Amer. Math. Soc., Providence, R.I., 1957.
    • (1957) Amer. Math. Soc.
    • Hille, E.1    Phillips, R.S.2
  • 15
    • 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.J.1    Lancien, G.2
  • 17
    • 0035872011 scopus 로고    scopus 로고
    • Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time
    • J. Prüss and R. Schnaubelt. Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time. J. Math. Anal. Appl., 256(2) (2001), 405-430.
    • (2001) J. Math. Anal. Appl. , vol.256 , Issue.2 , pp. 405-430
    • Prüss, J.1    Schnaubelt, R.2
  • 18
    • 0002158717 scopus 로고
    • Un'applicazione della teoria degli integrali singolari allo studio dette equazioni differenziali astratte del primo ordine
    • L. De Simon. Un'applicazione della teoria degli integrali singolari allo studio dette equazioni differenziali astratte del primo ordine. Rend. Sem. Mat. Univ. Padova, 34 (1964), 205-232.
    • (1964) Rend. Sem. Mat. Univ. Padova , vol.34 , pp. 205-232
    • De Simon, L.1
  • 19
    • 0011695035 scopus 로고
    • Coerciveness inequalities for abstract parabolic equations
    • P.E. Sobolevskii. Coerciveness inequalities for abstract parabolic equations. Soviet Math. (Doklady), 5 (1964), 894-897.
    • (1964) Soviet Math. (Doklady) , vol.5 , pp. 894-897
    • Sobolevskii, P.E.1
  • 22
    • 0037985472 scopus 로고    scopus 로고
    • p-regularity
    • Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998). Dekker, New York
    • p-regularity. In Evolution equations and their applications in physical and life sciences (Bad Herrenalb, 1998), volume 215 of Lecture Notes in Pure and Appl. Math., pages 195-214. Dekker, New York, 2001.
    • (2001) Lecture Notes in Pure and Appl. Math. , vol.215 , pp. 195-214
    • Weis, L.1
  • 23
    • 0035629005 scopus 로고    scopus 로고
    • p-regularity
    • p-regularity. Math. Ann., 319(4) (2001), 735-758.
    • (2001) Math. Ann. , vol.319 , Issue.4 , pp. 735-758
    • Weis, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.