Optimal Liouville-type theorems for a system of parabolic inequalities-Reference-Cited by-同舟云学术

Optimal Liouville-type theorems for a system of parabolic inequalities

Published:2019-05-27 Issue:06 Volume:22 Page:1950043
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Duong Anh Tuan¹²,Phan Quoc Hung³

Affiliation:

1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

3. Institute of Research and Development, Duy Tan University, Da Nang, Vietnam

Abstract

We establish optimal Liouville-type theorems for the system of parabolic inequalities [Formula: see text] and for the scalar inequality [Formula: see text] in the whole space [Formula: see text] and in [Formula: see text]. Our optimal Liouville-type theorems are proved for two different classes of solutions: the nontrivial nonnegative and the positive.

Funder

Vietnam National Foundation for Science and Technology Development

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199719500433

Reference29 articles.

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2. Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle

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