A semilinear wave equation with non-monotone nonlinearity and forcing flat on characteristics-Reference-Cited by-同舟云学术

A semilinear wave equation with non-monotone nonlinearity and forcing flat on characteristics

Published:2021-10-06 Issue:Special Issue 01 Volume: Page:91-99
ISSN:1072-6691
Container-title:Electronic Journal of Differential Equations
language:
Short-container-title:ejde

Author:

Caicedo Jose F.,Castro Alfonso,Duque Rodrigo

Abstract

We provide sufficient conditions on the forcing term for a semilinear wave equation with non-monotone asymptotically linear nonlinearity to have a weak solution. Earlier results required the forcing term not to be flat on characteristics, now we remove those requirements. Also we provide estimates on the measure of the level sets of the forcing term, that suffice for the equation to have a weak solution. For more information see https://ejde.math.txstate.edu/special/01/c1/abstr.html

Publisher

Texas State University

Subject

Analysis

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