naa a22 4500 510781578 CHVBK 20180411083249.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1007/s11854-013-0004-3 doi (NATIONALLICENCE)springer-10.1007/s11854-013-0004-3 Quasi-analytic solutions of linear parabolic equations [Elektronische Daten] [Yakar Kannai, Roberto Raimondo] Uniqueness of solutions of the Cauchy problem of a parabolic equation, and the related question of analyticity with respect to time, depend on global properties of the solution. We demonstrate that if the growth of the initial function (and, if relevant, of the inhomogeneous part and its derivatives) is not too great, solutions of non-stationary parabolic equations whose coefficients belong to quasi-analytic classes are quasi-analytic with respect to all variables and hence are unique. This study is motivated by the problem of endogenous completeness in continuous-time financial markets. Hebrew University Magnes Press, 2013 Kannai Yakar Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel aut Raimondo Roberto Faculty of Statistics, Mathematicsdivision, Universit À Degli Studi Milano-Bicocca, Via Bicocca Degli Arcimboldi 8, 20126, Milan, Italy aut Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 115-145 0021-7670 119:1<115 2013 119 11854 https://doi.org/10.1007/s11854-013-0004-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0004-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kannai Yakar Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel aut NATIONALLICENCE 700 1- Raimondo Roberto Faculty of Statistics, Mathematicsdivision, Universit À Degli Studi Milano-Bicocca, Via Bicocca Degli Arcimboldi 8, 20126, Milan, Italy aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique The Hebrew University Magnes Press 119/1(2013-04-01), 115-145 0021-7670 119:1<115 2013 119 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer