Articles with "continuation property" as a keyword



A unique continuation property for the wave equation in a time -dependent domain

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Published in 2022 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2021.125583

Abstract: Abstract We prove a unique continuation property for the wave eqiuation in a time-dependent domain Ω ( t ) , 0 ≤ t ≤ T . That is, if u ( t ) is a… read more here.

Keywords: unique continuation; continuation property; property wave; time dependent ... See more keywords

New type of the unique continuation property for a fractional diffusion equation and an inverse source problem

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Published in 2024 at "Boundary Value Problems"

DOI: 10.1186/s13661-024-01827-5

Abstract: In this work, a new type of the unique continuation property for time-fractional diffusion equations is studied. The proof is mainly based on the Laplace transform and the properties of Bessel functions. As an application,… read more here.

Keywords: unique continuation; type unique; fractional diffusion; new type ... See more keywords