On the breakdown of the uniqueness of a solution of the Dirichlet problem for typeless differential equations of arbitrary even order in a disk

DOI10.1007/s10958-013-1270-4zbMath1293.35374OpenAlexW2083050117MaRDI QIDQ354882

Vladimir P. Burskii, Katerina A. Buryachenko

Publication date: 22 July 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1270-4

zbMATH Keywords

homogeneous Dirichlet problemnonuniquenessBitsadze equationsequation-domain dualitytypeless differential equations

Mathematics Subject Classification ID

Miscellaneous topics in partial differential equations (35R99)

Related Items

Neumann problem in a disk for fourth-order improperly elliptic equations, Solvability of the Neumann Problem in a Disk for Fourth-Order Properly Elliptic Equations, Equation-domain duality in the Dirichlet problem for general differential equations in the space \(L_2\)

Cites Work

• Dirichlet problem for a properly elliptic equation in a unit disk
• On the first and second boundary value problems for elliptic systems on the plane
• Some aspects of the nontrivial solvability of homogeneous Dirichlet problems for linear equations of arbitrary even order in the disk
• Conditions of nontrivial solvability of the homogeneous Dirichlet problem for equations of any even order in the case of multiple characteristics without slope angles
• The Dirichlet problem for the vibrating string equation
• The Dirichlet Problem for a Hyperbolic Equation
• The unique solvability of a Dirichlet problem for fourth order properly elliptic equation.
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