Classification of general Wentzell boundary conditions for fourth order operators in one space dimension

DOI10.1016/J.JMAA.2006.11.058zbMath1124.47028OpenAlexW2072582465MaRDI QIDQ886176

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

Publication date: 26 June 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.11.058

zbMATH Keywords

semiboundednessselfadjointnessWentzell boundary conditionsdynamic boundary conditions

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) General theory of ordinary differential operators (47E05) Applications of operator theory to differential and integral equations (47N20) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (9)

Higher-order operators on networks: hyperbolic and parabolic theory ⋮ EIGENVALUES AND EIGENFUNCTIONS OF THE LAPLACE OPERATOR IN A SQUARE AND IN A CIRCLE WITH A WENTZEL BOUNDARY CONDITION ⋮ Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation ⋮ The Fourth Order Wentzell Heat Equation ⋮ On a linear problem arising in dynamic boundaries ⋮ Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem ⋮ Fourth order operators with general Wentzell boundary conditions ⋮ The Barenblatt-Zheltov-Kochina Model on the Segment with Wentzell Boundary Conditions ⋮ Lie symmetry classification of the generalized nonlinear beam equation

Cites Work

• Fourth order operators with general Wentzell boundary conditions
• Semigroups of linear operators and applications to partial differential equations
• The heat equation with generalized Wentzell boundary condition.
• One-Parameter Semigroups for Linear Evolution Equations
• $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions
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