Riquier-Neumann problem for the polyharmonic equation in a ball

DOI10.1134/S0012266118050087zbMath1400.31006OpenAlexW2807693270WikidataQ115250757 ScholiaQ115250757MaRDI QIDQ1660878

Valery V. Karachik

Publication date: 16 August 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266118050087

zbMATH Keywords

polyharmonic equationRiquier-Neumann boundary condiitions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

Related Items (12)

Sufficient conditions for solvability of one class of Neumann-type problems for the polyharmonic equation ⋮ Integral representations in the complex plane and iterated boundary value problems ⋮ Green's functions of some boundary value problems for the biharmonic equation ⋮ On the Fredholm property and index of the generalized Neumann problem ⋮ Representation of the Green's function of the Dirichlet problem for the polyharmonic equation in the ball ⋮ Neumann type problems for the polyharmonic equation in ball ⋮ Class of Neumann-type problems for the polyharmonic equation in a ball ⋮ Integral equations method for solving a biharmonic inverse problem in detection of Robin coefficients ⋮ SOLVABILITY CONDITIONS OF THE N2 NEUMANN-TYPE PROBLEM FOR POLYHARMONIC EQUATION IN A BALL ⋮ Shape reconstruction for an inverse biharmonic problem from partial Cauchy data ⋮ Green's functions of the Navier and Riquier-Neumann problems for the biharmonic equation in the ball ⋮ Biharmonic problem with Dirichlet and Steklov-type boundary conditions in weighted spaces

Cites Work

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• On One Mathematical Model Described by Boundary Value Problem for the Biharmonic Equation
• A Neumann-type problem for the biharmonic equation
• On solvability conditions for the Neumann problem for a polyharmonic equation in the unit ball

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