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Medientyp:
E-Artikel
Titel:
Inverse Problems with Unknown Boundary Conditions and Final Overdetermination for Time Fractional Diffusion-Wave Equations in Cylindrical Domains
Beteiligte:
Janno, Jaan
Erschienen:
MDPI AG, 2021
Erschienen in:
Mathematics, 9 (2021) 20, Seite 2541
Sprache:
Englisch
DOI:
10.3390/math9202541
ISSN:
2227-7390
Entstehung:
Anmerkungen:
Beschreibung:
Inverse problems to reconstruct a solution of a time fractional diffusion-wave equation in a cylindrical domain are studied. The equation is complemented by initial and final conditions and partly given boundary conditions. Two cases are considered: (1) full boundary data on a lateral hypersurface of the cylinder are given, but the boundary data on bases of the cylinder are specified in a neighborhood of a final time; (2) boundary data on the whole boundary of the cylinder are specified in a neighborhood of the final time, but the cylinder is either a cube or a circular cylinder. Uniqueness of solutions of the inverse problems is proved. Uniqueness for similar problems in an interval and a disk is established, too.