The Cauchy–Neumann and Cauchy–Robin problems for a class of hyperbolic operators with double characteristics in presence of transition

The Cauchy–Neumann and Cauchy–Robin problems for a class of hyperbolic operators with double characteristics in presence of transition

The mixed Cauchy–Neumann and Cauchy–Robin problems for a class of hyperbolic operators with double characteristics in presence of transition is investigated. Some a priori estimates in Sobolev spaces with negative indexes are proved. Subsequently, existence and uniqueness results for the mixed probl...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2020-12, Vol.11 (4), p.1991-2022
Hauptverfasser: Barbagallo, Annamaria, Esposito, Vincenzo
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematics
Mathematics and Statistics
Mathematics, Applied
Operator Theory
Operators
Partial Differential Equations
Physical Sciences
Science & Technology
Sobolev space
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Zusammenfassung:The mixed Cauchy–Neumann and Cauchy–Robin problems for a class of hyperbolic operators with double characteristics in presence of transition is investigated. Some a priori estimates in Sobolev spaces with negative indexes are proved. Subsequently, existence and uniqueness results for the mixed problems are obtained.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-020-00370-y