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Large-Time Behavior of Pseudo-Parabolic Equations Associated with Generalized Total Variation Energies
In this paper, we study the well-posedness and large-time behavior of a pseudo-parabolic problem associated with a generalized total variation energy in the $BV$-framework. A main mathematical issue arises from the mismatch between the Sobolev regularity of solutions at finite times and the $BV$-str
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