Variational primitive of a differential form

  • In this paper we specify the Dirichlet to Neumann operator related to the Cauchy problem for the gradient operator with data on a part of the boundary. To this end, we consider a nonlinear relaxation of this problem which is a mixed boundary problem of Zaremba type for the p-Laplace equation.

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Metadaten
Author details:Ammar AlsaedyORCiD
URN:urn:nbn:de:kobv:517-opus4-89223
ISSN:2193-6943
Publication series (Volume number):Preprints des Instituts für Mathematik der Universität Potsdam (5 (2016) 4)
Publisher:Universitätsverlag Potsdam
Place of publishing:Potsdam
Publication type:Preprint
Language:English
Year of first publication:2016
Publication year:2016
Publishing institution:Universität Potsdam
Publishing institution:Universitätsverlag Potsdam
Release date:2016/03/14
Tag:Cauchy problem; Dirichlet-to-Neumann operator; calculus of variations; p-Laplace operator
Volume:5
Issue:4
Number of pages:8
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J66 Nonlinear boundary value problems for nonlinear elliptic equations
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Jxx Elliptic equations and systems [See also 58J10, 58J20] / 35J92 Quasilinear elliptic equations with p-Laplacian
47-XX OPERATOR THEORY / 47Axx General theory of linear operators / 47A52 Ill-posed problems, regularization [See also 35R25, 47J06, 65F22, 65J20, 65L08, 65M30, 65R30]
Publishing method:Universitätsverlag Potsdam
Collection(s):Universität Potsdam / Schriftenreihen / Preprints des Instituts für Mathematik der Universität Potsdam, ISSN 2193-6943 / 2016
License (German):License LogoKeine öffentliche Lizenz: Unter Urheberrechtsschutz
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