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Fractional Diffusion-Wave Equations: Hidden Regularity for Weak Solutions

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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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Authors and Affiliations

  1. Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, Via Antonio Scarpa 16, 00161, Roma, Italy

    Paola Loreti & Daniela Sforza

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  1. Paola Loreti
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  2. Daniela Sforza
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Correspondence to Daniela Sforza.

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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

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