@article{RSMUP_2000__103__65_0, author = {Guidetti, Davide}, title = {Volterra integrodifferential equations of parabolic type of higher order in time in $L^p$ spaces}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {65--111}, publisher = {Seminario Matematico of the University of Padua}, volume = {103}, year = {2000}, mrnumber = {1789533}, zbl = {0966.45006}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2000__103__65_0/} }
TY - JOUR AU - Guidetti, Davide TI - Volterra integrodifferential equations of parabolic type of higher order in time in $L^p$ spaces JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2000 SP - 65 EP - 111 VL - 103 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2000__103__65_0/ LA - en ID - RSMUP_2000__103__65_0 ER -
%0 Journal Article %A Guidetti, Davide %T Volterra integrodifferential equations of parabolic type of higher order in time in $L^p$ spaces %J Rendiconti del Seminario Matematico della Università di Padova %D 2000 %P 65-111 %V 103 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2000__103__65_0/ %G en %F RSMUP_2000__103__65_0
Guidetti, Davide. Volterra integrodifferential equations of parabolic type of higher order in time in $L^p$ spaces. Rendiconti del Seminario Matematico della Università di Padova, Volume 103 (2000), pp. 65-111. http://www.numdam.org/item/RSMUP_2000__103__65_0/
[1] Existence and maximal time regularity for linear parabolic integrodifferential equations, Journ. Int. Eq., 10 (1985), pp. 5-43. | MR | Zbl
,[2] Linear parabolic equations in Banach spaces with variable domain but constant interpolation spaces, Ann. Sc. Norm. Sup. Pisa, ser. IV, 13 (1986), pp. 75-107. | Numdam | MR | Zbl
- ,[3] Existence and sharp regularity results for linear parabolic non-autonomous integro-differential equations, Israel Journ. Math. vol. 53, n. 3 (1986), pp. 257-303. | MR | Zbl
- ,[4] Nonautonomous integrodifferential equations in Lp spaces, Journ. Int. Eq., 10 (1985), pp. 111-121. | MR | Zbl
,[5] Abstract linear parabolic problems with nonhomogeneous boundary conditions, in Semigroup theory and evolution equations, (ed. P. Clement, E. Mitidieri, B. de Pagter), Lec. Notes in Pure and Appl. Math. vol. 135, Marcel Dekker Inc. (1991). | MR | Zbl
,[6] On boundary value problems for parabolic equations of higher order in time, Journ. Diff. Eq., vol. 124, n. 1 (1996), pp. 1-26. | MR | Zbl
,[7] On the abstract evolution equation, Osaka Math. Journ. 14 (1962), pp. 107-133. | MR | Zbl
- ,[8] Linear differential equations in Banach spaces, Translations of Mathematical Monographs, vol. 29 (1971). | MR
,[9] Regular solutions for time dependent abstract integrodifferential equations with singular kernel, Journ. Math. Anal. Appl., 130 (1988), 1-21. | MR | Zbl
,[10] Ca-regularity for nonautonomous linear integrodifferential equations, J. Diff. Eq., 63 (1986), pp. 88-116. | MR | Zbl
- ,[11] On resolvent operators for linear integrodifferential equations of Volterra type, Journ. Integral Eq., 5 (1983), 211-236. | MR | Zbl
,[12] Volterra integro-differential equations of parabolic type of higher order in t, Journ. Fac. Science, Tokyo Univ., Sec. IA, vol. 34, n. 1 (1987), pp. 115-125. | MR | Zbl
,[13] On fundamental solutions of linear parabolic equations of higher order in time and associated Volterra equations, Journ. Diff. Eq., 73 (1988), 288-308. | MR | Zbl
,[TR] Theory of function spaces, Monographs in Mathematics, Birkhäuser (1983). | MR | Zbl
,