@article{ASNSP_1987_4_14_4_587_0, author = {Park, Dong Gun and Tanabe, Hiroki}, title = {On the asymptotic behavior of solutions of linear parabolic equations in $L^1$ space}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {587--611}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 14}, number = {4}, year = {1987}, mrnumber = {963491}, zbl = {0676.35036}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1987_4_14_4_587_0/} }
TY - JOUR AU - Park, Dong Gun AU - Tanabe, Hiroki TI - On the asymptotic behavior of solutions of linear parabolic equations in $L^1$ space JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1987 SP - 587 EP - 611 VL - 14 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1987_4_14_4_587_0/ LA - en ID - ASNSP_1987_4_14_4_587_0 ER -
%0 Journal Article %A Park, Dong Gun %A Tanabe, Hiroki %T On the asymptotic behavior of solutions of linear parabolic equations in $L^1$ space %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1987 %P 587-611 %V 14 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1987_4_14_4_587_0/ %G en %F ASNSP_1987_4_14_4_587_0
Park, Dong Gun; Tanabe, Hiroki. On the asymptotic behavior of solutions of linear parabolic equations in $L^1$ space. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 14 (1987) no. 4, pp. 587-611. http://www.numdam.org/item/ASNSP_1987_4_14_4_587_0/
[1] Asymptotic behavior of the Green's function and spectral function of an elliptic operator, J. Func. Anal., 5 (1970), pp. 484-503. | MR | Zbl
,[2] On the spectral theory of elliptic operators. I, Math. Ann., 142 (1961), pp. 22-130. | MR | Zbl
,[3] Équations differentielles abstraites, Ann. Scient. Ecole Norm. Sup., 2 (1969), pp. 311-195. | Numdam | MR | Zbl
,[4] On the asymptotic behavior of solutions of linear nonautonomous parabolic equations, preprint. | MR
,[5] On the Riesz means of spectral functions and eigenfunction expansions for elliptic differential operators, Some Recent Advances in the Basic Sciences, 2 (Proc. Annual. Sci. Conf., Belfer Grad. School Sci., Yeshiva Univ., New York, 1965- 1966), pp. 155-202. | MR
,[6] Initial-boundary value problem for parabolic equation in L1, Proc. Japan Acad., 62 (1986), pp. 178-180. | MR | Zbl
,[7] Regularity in time of the solution of parabolic initial-boundary value problem in L1 space, Osaka J. Math., 24 (1987), pp. 911-930. | MR | Zbl
,[8] Asymptotic behavior of the solution of an abstract evolution equation and some applications, J. Diff. Eq., 4 (1968), pp. 493-509. | MR | Zbl
,[9] Convergence to a stationary state of the solution of some kinds of differential equations in a Banach space, Proc. Japan Acad., 37 (1961), pp. 127-130. | MR | Zbl
,[10] On semilinear equations of elliptic and parabolic type, Functional Analysis and Numerical Analysis, Japan-France Seminar, Tokyo and Kyoto, 1967 (ed. H. Fujita), Japan Society for the Promotion of Science, 1978, pp. 455-463.
,[11] Functional Analysis. II, Jikkyo Shuppan Publishing Company, Tokyo, 1981 (in Japanese).
,