On analyse le problème de Cauchy–Dirichlet pour l’équation de Moore–Gibson–Thompson avec des données non-homogènes. Deux méthodes sont considérées : la théorie des équations hyperboliques et la théorie des semi-groupes d’opérateurs. Il s’agit d’un problème hyperbolique mixte avec une frontière spatiale caractéristique. Par conséquent, les résultats de régularité présentent certaines lacunes par rapport au cas non caractéristique.
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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DOI : 10.5802/crmath.231
Francesca Bucci 1 ; Matthias Eller 2
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@article{CRMATH_2021__359_7_881_0, author = {Francesca Bucci and Matthias Eller}, title = {The {Cauchy{\textendash}Dirichlet} problem for the {Moore{\textendash}Gibson{\textendash}Thompson} equation}, journal = {Comptes Rendus. Math\'ematique}, pages = {881--903}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {7}, year = {2021}, doi = {10.5802/crmath.231}, zbl = {07398741}, language = {en}, }
TY - JOUR AU - Francesca Bucci AU - Matthias Eller TI - The Cauchy–Dirichlet problem for the Moore–Gibson–Thompson equation JO - Comptes Rendus. Mathématique PY - 2021 SP - 881 EP - 903 VL - 359 IS - 7 PB - Académie des sciences, Paris DO - 10.5802/crmath.231 LA - en ID - CRMATH_2021__359_7_881_0 ER -
Francesca Bucci; Matthias Eller. The Cauchy–Dirichlet problem for the Moore–Gibson–Thompson equation. Comptes Rendus. Mathématique, Volume 359 (2021) no. 7, pp. 881-903. doi : 10.5802/crmath.231. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.231/
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