Cookies?
Library Header Image
LSE Research Online LSE Library Services

On the existence of spatially tempered null solutions to linear constant coefficient PDES

Sasane, Amol (2021) On the existence of spatially tempered null solutions to linear constant coefficient PDES. Israel Journal of Mathematics. ISSN 0021-2172

[img] Text (On the existence of spatially tempered null solutions to linear constant coefficient PDES) - Accepted Version
Repository staff only until 21 August 2022.

Download (218kB) | Request a copy
Identification Number: 10.1007/s11856-021-2181-6

Abstract

Given a linear, constant coefficient partial differential equation in ℝd+1, where one independent variable plays the role of ‘time’, a distributional solution is called a null solution if its past is zero. Motivated by physical considerations, distributional solutions that are tempered in the spatial directions alone (with no restriction in the time direction) are considered. An algebraic-geometric characterization is given, in terms of the polynomial describing the PDE, for the null solution space to be trivial (that is, consisting only of the zero distribution).

Item Type: Article
Official URL: https://www.springer.com/journal/11856
Additional Information: © 2021 The Hebrew University of Jerusalem
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 13 Jul 2020 16:15
Last Modified: 20 Sep 2021 03:18
URI: http://eprints.lse.ac.uk/id/eprint/105644

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics