Translator Disclaimer
April 2020 Maximum principles for generalized Schrödinger equations
Masayoshi Takeda
Illinois J. Math. 64(1): 119-139 (April 2020). DOI: 10.1215/00192082-8165622

Abstract

We define three function spaces related to a Schrödinger form and its semigroup: two are spaces of excessive functions defined through the Schrödinger semigroup, and one is the space of weak subsolutions defined through the Schrödinger form. We define the maximum principle for each space and prove the equivalence of three maximum principles. Moreover, we give a necessary and sufficient condition for each maximum principle in terms of the principal eigenvalue of time-changed processes.

Citation

Download Citation

Masayoshi Takeda. "Maximum principles for generalized Schrödinger equations." Illinois J. Math. 64 (1) 119 - 139, April 2020. https://doi.org/10.1215/00192082-8165622

Information

Received: 5 May 2019; Revised: 28 October 2019; Published: April 2020
First available in Project Euclid: 6 March 2020

zbMATH: 07179193
MathSciNet: MR4072645
Digital Object Identifier: 10.1215/00192082-8165622

Subjects:
Primary: 60J25
Secondary: 31C05 , 31C25

Rights: Copyright © 2020 University of Illinois at Urbana-Champaign

JOURNAL ARTICLE
21 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.64 • No. 1 • April 2020
Back to Top