BLOW UP OF NEGATIVE INITIAL-ENERGY SOLUTIONS OF A SYSTEM OF NONLINEAR WAVE EQUATIONS WITH VARIABLE-EXPONENT NONLINEARITIES

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S（2022）

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摘要

This work is concerned with a system of wave equations with variable-exponent nonlinearities acting in both equations. We, first, discuss the well-posedness then prove a blow up result for solutions with negative initial energy.

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关键词

Key words and phrases, Blow up, local existence, variable-exponent nonlinearity, system wave equations

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