Autor: |
Dell'oro, F, Liverani, L, Pata, V |
Přispěvatelé: |
Dell'Oro, F, Liverani, L, Pata, V |
Jazyk: |
angličtina |
Rok vydání: |
2023 |
Předmět: |
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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 |
Externí odkaz: |
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