Abstract
It is well known that the zero function is the only non-negative parabolic function (i.e., solution of the heat equation) on R n ×(0,T) which vanishes continuously on R n ×{0} (cf. [2, Part 1, Chap. XVI], [6, Chap. VIII]). In this paper, considering the Huygens property of minimal parabolic functions (see Proposition 2), we shall show the following generalization of the above result
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
