On the regularized Moore-Gibson-Thompson equation

Autor: Dell'oro, F, Liverani, L, Pata, V
Přispěvatelé: Dell'Oro, F, Liverani, L, Pata, V
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Popis: We study the regularized MGT equationuttt + alpha utt + beta Aut + gamma Au + delta Autt = 0where A is a strictly positive unbounded operator and alpha, beta, gamma, delta > 0. The effect of the regularizing term delta Autt translates into having an analytic semigroup S(t) = etA of solutions. Moreover, the asymptotic properties of the semigroup are ruled by the stability number Kappa = beta - gamma alpha + delta lambda 0which, contrary to the case of the standard MGT equation, depends also on the minimum lambda 0 > 0 of the spectrum of A.
Databáze: OpenAIRE