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
Kannai, Y., & Raimondo, R. (2013). Quasi-analytic solutions of linear parabolic equations. JOURNAL D'ANALYSE MATHEMATIQUE, 119(1), 115-145 [10.1007/s11854-013-0004-3].
Citazione: | Kannai, Y., & Raimondo, R. (2013). Quasi-analytic solutions of linear parabolic equations. JOURNAL D'ANALYSE MATHEMATIQUE, 119(1), 115-145 [10.1007/s11854-013-0004-3]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Quasi-analytic solutions of linear parabolic equations. | |
Autori: | Kannai, Y; Raimondo, R | |
Autori: | ||
Data di pubblicazione: | 2013 | |
Lingua: | English | |
Rivista: | JOURNAL D'ANALYSE MATHEMATIQUE | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s11854-013-0004-3 | |
Appare nelle tipologie: | 01 - Articolo su rivista |