Abstract: The Cauchy–Dirichlet problem for the Moore–Gibson–Thompson equation is analyzed. With the focus on non-homogeneous boundary data, two approaches are offered: one is based on the theory of hyperbolic equations, while the other one uses the theory of operator semigroups. This is a mixed hyperbolic problem with a characteristic spatial boundary. Hence, the regularity results exhibit some deficiencies when compared with the non-characteristic case.
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation / Francesca Bucci; Matthias Eller. - In: COMPTES RENDUS. MATHÉMATIQUE. - ISSN 1778-3569. - STAMPA. - 359:(2021), pp. 881-903. [10.5802/crmath.231]
The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation
Francesca Bucci;
2021
Abstract
Abstract: The Cauchy–Dirichlet problem for the Moore–Gibson–Thompson equation is analyzed. With the focus on non-homogeneous boundary data, two approaches are offered: one is based on the theory of hyperbolic equations, while the other one uses the theory of operator semigroups. This is a mixed hyperbolic problem with a characteristic spatial boundary. Hence, the regularity results exhibit some deficiencies when compared with the non-characteristic case.
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arXiv:2004.11167v2.pdf
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Versione finale referata (Postprint, Accepted manuscript)
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CRMATH_2021__359_7_881_0.pdf
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Creative commons
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807.48 kB
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807.48 kB | Adobe PDF |
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