We consider a solution u to an initial boundary value problem in a bounded domain ohm over a time interval (0, T) for a time-fractional wave equation where the order of time derivative is between 1 and 2. We prove that if u|omega x(0,T ) = 0 for arbitrarily chosen subdomain omega subset of ohm, then u = 0 in ohm x (0, T).(c) 2023 Elsevier Ltd. All rights reserved.
Uniqueness of solution with zero boundary condition for time-fractional wave equations / Loreti, P.; Sforza, D.; Yamamoto, M.. - In: APPLIED MATHEMATICS LETTERS. - ISSN 1873-5452. - 148:(2024). [10.1016/j.aml.2023.108862]
Uniqueness of solution with zero boundary condition for time-fractional wave equations
Loreti P.;Sforza D.;Yamamoto M.
2024
Abstract
We consider a solution u to an initial boundary value problem in a bounded domain ohm over a time interval (0, T) for a time-fractional wave equation where the order of time derivative is between 1 and 2. We prove that if u|omega x(0,T ) = 0 for arbitrarily chosen subdomain omega subset of ohm, then u = 0 in ohm x (0, T).(c) 2023 Elsevier Ltd. All rights reserved.File allegati a questo prodotto
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