Approximation properties of the q -sine bases

DOI10.1098/rspa.2010.0486zbMath1251.35058arXiv1008.2519OpenAlexW3101678581MaRDI QIDQ5199469

Lyonell Boulton, Gabriel J. Lord

Publication date: 16 August 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2519

zbMATH Keywords

\(p\)-Laplace Cauchy problem\(p\)-Laplace evolution problem with stochastic forcing\(q\)-sine basisnon-orthogonal spectral method

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (9)

Basis and regularity properties of ( p , q )-trigonometric functions and the decay of ( p , q )-Fourier coefficients ⋮ Basis properties of p-exponential function of Lindqvist and Peetre type ⋮ Basis properties of Fučik eigenfunctions ⋮ Remarkable properties of the \(\operatorname{sinc}_{p,q}\) functions and related integrals ⋮ Open problems: Applying non-self-adjoint operator techniques to the \(p\)-Laplace non-linear operator in one dimension ⋮ The basis property of generalized Jacobian elliptic functions ⋮ Applications of generalized trigonometric functions with two parameters ⋮ Generalised cosine functions, basis and regularity properties ⋮ Unnamed Item

Cites Work

• The limit as \(p \rightarrow \infty \) in a nonlocal \(p\)-Laplacian evolution equation: a nonlocal approximation of a model for sandpiles
• On the stochastic \(p\)-Laplace equation
• Fast/slow diffusion and collapsing sandpiles,
• Bean's critical-state model as the \(p\rightarrow\infty\) limit of an evolutionary \(p\)-Laplacian equation
• Fast/slow diffusion and growing sandpiles
• A generalized collapsing sandpile model
• Quasi-norm interpolation error estimates for the piecewise linear finite element approximation of \(p\)-Laplacian problems
• Basis properties of eigenfunctions of the 𝑝-Laplacian
• A Finite-Difference Approximation of a Two-Layer System for Growing Sandpiles
• Higher-Order Regularity for the Solutions of Some Degenerate Quasilinear Elliptic Equations in the Plane
• Finite Element Approximation of the Parabolic p-Laplacian
• APPROXIMATION NUMBERS OF SOBOLEV EMBEDDING OPERATORS ON AN INTERVAL

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