Solvability of some boundary-value problems for polyharmonic equation with Hadamard-Marchaud boundary operator

DOI10.3103/S1066369X14070020zbMath1327.35395OpenAlexW2073022433MaRDI QIDQ2262906

A. E. Bekaeva, Batirkhan Kh. Turmetov, Valery V. Karachik

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14070020

zbMATH Keywords

polyharmonic equationfractional differential operatorsDirichlet and Neumann boundary-value problemsHadamard-Marchaud operators

Mathematics Subject Classification ID

Fractional partial differential equations (35R11)

Related Items (5)

On the solvability of some boundary value problems for the inhomogeneous polyharmonic equation with boundary operators of the Hadamard type ⋮ On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator ⋮ Green function for analogue of Robin problem for polyharmonic equation ⋮ About solvability of some boundary value problems for poisson equation in the ball ⋮ On solvability of some boundary value problems for a biharmonic equation with periodic conditions

Cites Work

• A problem for the polyharmonic equation in the sphere
• Some properties and applications of the integrodifferential operators of Hadamard-Marchaud type in the class of harmonic functions
• Construction of polynomial solutions to some boundary value problems for Poisson’s equation
• On some integro-differential operators in the class of harmonic functions and their applications
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