Fourth order operators with general Wentzell boundary conditions

DOI10.1216/RMJ-2008-38-2-445zbMath1195.35108OpenAlexW2039645248MaRDI QIDQ1011009

Jerome A. Goldstein, Silvia Romanelli, Gisèle Ruiz Goldstein, Angelo Favini

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2008-38-2-445

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Boundary value problems for linear higher-order PDEs (35G15)

Related Items (5)

Higher-order operators on networks: hyperbolic and parabolic theory ⋮ The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains ⋮ Classification of general Wentzell boundary conditions for fourth order operators in one space dimension ⋮ The Fourth Order Wentzell Heat Equation ⋮ A semilinear equation with generalized Wentzell boundary condition

Cites Work

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• Classification of general Wentzell boundary conditions for fourth order operators in one space dimension
• The heat equation with nonlinear general Wentzell boundary condition
• Elliptic partial differential equations of second order
• The heat equation with generalized Wentzell boundary condition.
• Linear and quasilinear elliptic equations
• One-Parameter Semigroups for Linear Evolution Equations
• Spectral Problems for Non-Linear Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
• $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions

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