Stability for some classes of degenerate nonlinear hyperbolic equations with time delay

2024/02/01 by Camasta, Alessandro, Fragnelli, Genni, Pignotti, Cristina · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.01023

Abstract

We consider several classes of degenerate hyperbolic equations involving delay terms and suitable nonlinearities. The idea is to rewrite the problems in an abstract way and, using semigroup theory and energy method, we study well posedness and stability. Moreover, some illustrative examples are given.

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