Ebenfelt, Peter

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Ebenfelt, Peter
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Ebenfelt, Peter

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  • Publication
    On the mixed Cauchy problem with data on singular conics
    (OUP, 2008-08)
    Ebenfelt, Peter 
    ;
    Render, Hermann 
    We consider a problem of mixed Cauchy type for certain holomorphic partial differential operators with the principal part Q2p(D) essentially being the (complex) Laplace operator to a power, Δp. We provide inital data on a singular conic divisor given by P = 0, where P is a homogeneous polynomial of degree 2p. We show that this problem is uniquely solvable if the polynomial P is elliptic, in a certain sense, with respect to the principal part Q2p(D).
      236Scopus© Citations 5