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Janno, Jaan

Inverse Problems with Unknown Boundary Conditions and Final Overdetermination for Time Fractional Diffusion-Wave Equations in Cylindrical Domains

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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
  • Sprache: Englisch
  • DOI: 10.3390/math9202541
  • ISSN: 2227-7390
  • Schlagwörter: General Mathematics ; Engineering (miscellaneous) ; Computer Science (miscellaneous)
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: <jats:p>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.</jats:p>
  • Zugangsstatus: Freier Zugang