The p-Poisson Equation: Regularity Analysis and Adaptive Wavelet Frame Approximation

The p-Poisson Equation: Regularity Analysis and Adaptive Wavelet Frame Approximation

This thesis is concerned with an important class of quasilinear elliptic equations: the p-Poisson equations -div(|\nabla u|^{p-2} \nabla u) = f in Ω, where 1 < p < infty and Ω denotes a bounded Lipschitz domain in R^d, d>=2. Equations of this type appear, inter alia, in various problems in...

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Bibliografske podrobnosti
Glavni avtor: Hartmann, Christoph
Drugi avtorji: Dahlke, Stephan (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Format: Dissertation
Jezik:angleščina
Izdano: Philipps-Universität Marburg 2017
Teme:
mathematics
Besov-Raum
Mathematik
adaptive Wavelet-Verfahren
Numerische Mathematik
adaptive wavelet method
p-Poisson-Gleichung
Wavelet
Quasilineare Differentialgleichung
Besov space
Adaptives
p-Poisson equation
Regularität
regularity theory
numerical analysis
Nichtlineare Approximation
nonlinear approximation
Regularitätstheorie
Mathematics
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Podrobnosti zaloge
Signatura: urn:nbn:de:hebis:04-z2018-02453
Publikationsdatum: 2018-09-24
Datum der Annahme: 2018-05-02
Downloads: 37 (2024), 106 (2023), 58 (2022), 81 (2021), 36 (2020), 37 (2019), 16 (2018)
Lizenz: https://rightsstatements.org/vocab/InC-NC/1.0/
Zugangs-URL: https://archiv.ub.uni-marburg.de/diss/z2018/0245
https://doi.org/10.17192/z2018.0245

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