Higher-order operators on networks: hyperbolic and parabolic theory
DOI10.1007/s00020-020-02610-8zbMath1462.35425arXiv1912.03297OpenAlexW3102884129WikidataQ115609522 ScholiaQ115609522MaRDI QIDQ830665
Delio Mugnolo, Federica Gregorio
Publication date: 7 May 2021
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.03297
quadratic formsdynamic boundary conditionspolyharmonic operatorsextension theorylinear operator semigroups
Initial-boundary value problems for higher-order parabolic equations (35K35) One-parameter semigroups and linear evolution equations (47D06) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Boundary value problems on graphs and networks for ordinary differential equations (34B45) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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Cites Work
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- On vertex conditions for elastic systems
- Vector-valued heat equations and networks with coupled dynamic boundary conditions
- Convergence of operator semigroups associated with generalised elliptic forms
- Boundary controllability of a chain of serially connected Euler-Bernoulli beams with interior masses
- Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up
- Classification of general Wentzell boundary conditions for fourth order operators in one space dimension
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Fourth order operators with general Wentzell boundary conditions
- On \(L^p\)-contractivity of semigroups generated by linear partial differential operators
- The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
- The eigenvalue problem for networks of beams
- Exact boundary controllability of two Euler-Bernoulli beams connected by a point mass
- The heat equation with generalized Wentzell boundary condition.
- Fourth-order differential equations on geometric graphs
- Uniformly elliptic operators with measurable coefficients
- Bi-Laplacians on graphs and networks
- Spectrum of a network of Euler-Bernoulli beams
- Semigroup methods for evolution equations on networks
- Control of a network of Euler-Bernoulli beams
- Operator matrices as generators of cosine operator functions
- Zum Einbettungssatz von Rellich bei Sobolevräumen
- Ulteriori proprieta di alcune classi di funzioni in piu variabili
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- Vector-valued Laplace Transforms and Cauchy Problems
- Sectorial forms and degenerate differential operators
- Heat Equation with Dynamical Boundary Conditions of Reactive Type
- Elliptic operators with general Wentzell boundary conditions, analytic semigroups and the angle concavity theorem
- A variational approach to strongly damped wave equations
- Modeling, Stabilization and Control of Serially Connected Beams
- Modelling of dynamic networks of thin thermoelastic beams
- Boundary Controllability of a Hybrid System Consisting in Two Flexible Beams Connected by a Point Mass
- Spectre des réseaux de poutres
- Control of networks of Euler-Bernoulli beams
- Higher order linear parabolic equations
- Dynamic and generalized Wentzell node conditions for network equations
- VIBRATION OF A DOUBLE-BEAM SYSTEM
- An Asymptotic Property of Solutions of Wave Equations
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