Spatio-temporal decay estimates for third order parabolic backward in time PDE
Abstract In this work, we study a backward in time version of a third order parabolic partial differential equation. Spatio-temporal decay estimates are obtained assuming some conditions on the coefficients of the equation and by using a technical lemma. Some particular cases where this equation can be found in applied mathematics are shown.
Authors
- R. Quintanilla (ORCID: https://orcid.org/0000-0001-7059-7058)
- José R. Fernández (ORCID: https://orcid.org/0000-0002-8533-1858)
Institutions
- Universidade de Vigo (ES)
- Universitat Politècnica de Catalunya (ES)
Publication Details
- Journal
- Ricerche di Matematica
- Published
- 2025-02-15
- DOI
- https://doi.org/10.1007/s11587-025-00940-6
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministerio de Ciencia, Innovación y Universidades
- Universidade de Vigo