JournalszaaVol. 26, No. 1pp. 1–24

On a Boundary-Value Problem for Pseudo-Differential Operators and its Relation to Jump Processes

  • V. Knopova

    V. M. Glushkov Institute of Cybernetics, Kiev, Ukraine
On a Boundary-Value Problem for Pseudo-Differential Operators and its Relation to Jump Processes cover
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Abstract

We show the solvability of Dirichlet and Neumann boundary-value problems in Lp(R+n)L_p(\mathbb{R}^n_+) for an operator AA of some special type. In case p=2p=2 it is possible to give another description of the trace of the domain of AA on Rn1\mathbb{R}^{n-1}.

Cite this article

V. Knopova, On a Boundary-Value Problem for Pseudo-Differential Operators and its Relation to Jump Processes. Z. Anal. Anwend. 26 (2007), no. 1, pp. 1–24

DOI 10.4171/ZAA/1307