Besov regularity for operator equations on patchwise smooth manifolds

DOI10.1007/s10208-015-9273-9zbMath1400.46026arXiv1312.2734OpenAlexW1554219327MaRDI QIDQ895705

Markus Weimar, Stephan Dahlke

Publication date: 4 December 2015

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2734

zbMATH Keywords

waveletsregularitydouble layermanifoldsweighted Sobolev spacesintegral equationsadaptive methodsBesov spacesnonlinear approximation

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Smoothness and regularity of solutions to PDEs (35B65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Numerical methods for wavelets (65T60) Linear operators on function spaces (general) (47B38) Singular integral equations (45E99)

Related Items (9)

Almost diagonal matrices and Besov-type spaces based on wavelet expansions ⋮ Regularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spaces ⋮ Rate-optimal sparse approximation of compact break-of-scale embeddings ⋮ Besov estimates for weak solutions of a class of quasilinear parabolic equations with general growth ⋮ Adaptive Wavelet BEM for Boundary Integral Equations: Theory and Numerical Experiments ⋮ Besov estimates for weak solutions of the parabolic \(p\)-Laplacian equations ⋮ Besov regularity estimates for the elliptic \(p(x)\)-Laplacian equation with the logarithmic growth ⋮ On the limit regularity in Sobolev and Besov scales related to approximation theory ⋮ Besov estimates for the weak solutions of a class of quasilinear elliptic equations

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