Abstract
We prove a “hidden” regularity result for weak solutions of time fractional diffusion-wave equations where the Caputo fractional derivative is of order α ∈ (1, 2). To establish such result we analyse the regularity properties of the weak solutions in suitable interpolation spaces.
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Loreti, P., Sforza, D. Fractional Diffusion-Wave Equations: Hidden Regularity for Weak Solutions. Fract Calc Appl Anal 24, 1015–1034 (2021). https://doi.org/10.1515/fca-2021-0044
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DOI: https://doi.org/10.1515/fca-2021-0044