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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Bibliographic Details
Main Author: Hartmann, Christoph
Contributors: Dahlke, Stephan (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Language:English
Published: Philipps-Universität Marburg 2017
Subjects:
mathematics
adaptive wavelet method
p-Poisson equation
Besov-Raum
Mathematik
numerical analysis
p-Poisson-Gleichung
Besov space
Numerische Mathematik
Regularitätstheorie
adaptive Wavelet-Verfahren
Wavelet
Quasilineare Differentialgleichung
regularity theory
Adaptives
Regularität
nonlinear approximation
Nichtlineare Approximation
Mathematics
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