DOI: 10.1515/anona-2025-0183 ISSN: 2191-950X

Global existence and blowup for a nonlocal wave equation with combined power-type nonlinearities

Yue Pang, Xiaotong Qiu, Weipeng Wu

Abstract

The Cauchy problem for a class of nonlinear nonlocal wave equation is considered. For the subcritical and critical initial energy levels, we prove the existence of global solution and finite time blowup of solutions, respectively.

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