Boundary Coerciveness and the Neumann Problem for 4th Order Linear Partial Differential Operators

DOI10.1007/978-1-4419-1343-2_17zbMath1183.47042OpenAlexW2120507204MaRDI QIDQ5188058

Gregory C. Verchota

Publication date: 10 March 2010

Published in: Around the Research of Vladimir Maz'ya II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-1343-2_17

zbMATH Keywords

Neumann problemboundary coercivenessfourth order partial differential operator

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (7)

Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ Regularity of solutions to the polyharmonic equation in general domains ⋮ The Ẇ−1,p Neumann problem for higher order elliptic equations ⋮ Trace and extension theorems relating Besov spaces to weighted averaged Sobolev spaces ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients ⋮ Nonvariational layer potentials with respect to Hölder continuous vector fields ⋮ Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains

Cites Work

• Boundary value problems for the systems of elastostatics in Lipschitz domains
• Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains
• L'intégrale de Cauchy définit un opératuer borne sur \(L^ 2 \)pour les courbes lipschitziennes
• Extremal positive semidefinite forms
• Potential techniques for boundary value problems on \(C^1\)-domains
• The method of layer potentials in electromagnetic scattering theory on nonsmooth domains
• The Dirichlet problem for the Stokes system on Lipschitz domains
• Dilation invariant estimates and the boundary Gårding inequality for higher order elliptic operators
• The biharmonic Neumann problem in Lipschitz domains
• The coerciveness problem for integro-differential forms
• Differential operators on Riemannian manifolds
• The Neumann problem on Lipschitz domains
• Cauchy integrals on Lipschitz curves and related operators
• Agmon Coerciveness and the Analysis of Operators with Formally Positive Integro-Differential Forms
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