Numerical solutions of a class of integral equations and the associated partial differential equations

DOI10.1007/s10013-015-0153-zzbMath1341.31002OpenAlexW655853642MaRDI QIDQ295327

Rajendra Prasad Lal, Namita Das

Publication date: 13 June 2016

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-015-0153-z

zbMATH Keywords

integral equationspartial differential equations\(\mathcal{M}\)-harmonic functionsinvariant mean value property

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Connections of harmonic functions with differential equations in higher dimensions (31B35)

Cites Work

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• Commuting Toeplitz operators with harmonic symbols
• An invariant volume-mean-value property
• Functions invariant under the Berezin transform
• The volume mean-value property of harmonic functions