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oaioai:scholarsarchive.library.albany.edu:math_fac_scholar-1013

A Positivity Criterion for the Wave Equation and Global Existence of Large Solutions

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Publication date
1 January 2016
Publisher
Scholars Archive

Abstract

In dimensions one to three, the fundamental solution to the free wave equation is positive. Therefore, there exists a simple positivity criterion for solutions. We use this to obtain large global solutions to two well-studied energy-supercritical semilinear wave equations, as well as some new results in the subcritical and critical cases

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University at Albany, State University of New York (SUNY): Scholars Archive

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Last time updated on 17/10/2019

This paper was published in University at Albany, State University of New York (SUNY): Scholars Archive.

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