Equazioni paraboliche del secondo ordine e spazi L 2, θ (ω, δ)(ω, δ)

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ID: 260888
1970
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Abstract
Si considera il primo problema al contorno per l’equazione parabolica (E−∂/∂t) u=f condati al contorno nulli e si dimostra che se f appartiene allo spazio funzionaleL 2, θ(ω, δ) allora la soluzione u del problema anzidetto ha le derivate DiDj e ∂/∂t nello stesso spazio funzionale. Si ottengono così, in particolare, rísultati di regolarità del tipo di Schauder nelle classi holderiane e, come conseguenza, risultati e maggiorazioni negli spazi Lp per le derivate DiDju e ∂/∂t.
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campanato1970annaliequazioni Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Sergio Campanato;Sergio Campanato;
Journal annali di matematica pura ed applicata
Year 1970
DOI
doi:10.1007/BF02415082
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