Bi-Laplacians on graphs and networks
From MaRDI portal
Publication:1987651
DOI10.1007/s00028-019-00523-7zbMath1437.35424arXiv1712.07370OpenAlexW2777635531MaRDI QIDQ1987651
Delio Mugnolo, Federica Gregorio
Publication date: 15 April 2020
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.07370
boundary conditionsquantum graphsdifferential and difference operators of higher orderpositive semigroups of bounded linear operators
Initial-boundary value problems for higher-order parabolic equations (35K35) One-parameter semigroups and linear evolution equations (47D06) Vector-valued measures and integration (46G10) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (19)
Higher-order operators on networks: hyperbolic and parabolic theory ⋮ Evolution equations with eventually positive solutions ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Self-adjointness of perturbed bi-Laplacians on infinite graphs ⋮ The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains ⋮ Eventual domination for linear evolution equations ⋮ Spectrum and convergence of eventually positive operator semigroups ⋮ Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation ⋮ Spectral properties of locally eventually positive operator semigroups ⋮ Three‐dimensional elastic beam frames: Rigid joint conditions in variational and differential formulation ⋮ Surgery transformations and spectral estimates of \(\delta\) beam operators ⋮ EVENTUAL POSITIVITY AND ASYMPTOTIC BEHAVIOUR FOR HIGHER-ORDER EVOLUTION EQUATIONS ⋮ \(n\)-Laplacians on metric graphs and almost periodic functions. I ⋮ Schrödinger and polyharmonic operators on infinite graphs: parabolic well-posedness and \(p\)-independence of spectra ⋮ Bi-Kolmogorov type operators And weighted Rellich's inequalities ⋮ On the Spectral Gap for Networks of Beams ⋮ Hidden symmetries in non-self-adjoint graphs ⋮ On torsional rigidity and ground-state energy of compact quantum graphs ⋮ Controllability for Schrödinger type system with mixed dispersion on compact star graphs
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eventually and asymptotically positive semigroups on Banach lattices
- On vertex conditions for elastic systems
- On the spectral gap of a quantum graph
- Fourth-order Schrödinger type operator with singular potentials
- Parabolic theory of the discrete \(p\)-Laplace operator
- Projections onto convex sets and \(L ^{p }\)-quasi-contractivity of semigroups
- Eventually positive semigroups of linear operators
- Properties of representations of operators acting between spaces of vector-valued functions
- Dirichlet forms and symmetric Markov processes.
- Eventual local positivity for a biharmonic heat equation in \(\mathbb R^n\)
- Decay and local eventual positivity for biharmonic parabolic equations
- Smooth zero-contact-angle solutions to a thin-film equation around the steady state
- Parabolic systems with coupled boundary conditions
- One-parameter semigroups of positive operators
- Probabilistic construction of the solution of some higher order parabolic differential equation
- The spectrum of an infinite graph
- On singular perturbations of second order Cauchy problems
- A signed measure on path space related to Wiener measure
- Modeling, analysis and control of dynamic elastic multi-link structures
- The eigenvalue problem for networks of beams
- Linear stability of steady states for thin film and Cahn-Hilliard type equations
- Fourth-order differential equations on geometric graphs
- A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
- Upper bounds on coarsening rates
- Uniformly elliptic operators with measurable coefficients
- Long time asymptotics of fourth order parabolic equations
- Ultracontractivity and eigenvalues: Weyl's law for the Dirichlet-to-Neumann operator
- Semigroup methods for evolution equations on networks
- Gaussian estimates for a heat equation on a network
- High order heat-type equations and random walks on the complex plane
- Zum Einbettungssatz von Rellich bei Sobolevräumen
- Positive selfadjoint extensions of positive symmetric operators
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- On the semi-group generated by Kolmogoroff's differential equations
- DIRICHLET SPACES
- Some Remarks on the Krein-von Neumann Extension of Different Laplacians
- Modeling, Stabilization and Control of Serially Connected Beams
- Modelling of dynamic networks of thin thermoelastic beams
- Control of networks of Euler-Bernoulli beams
- Kirchhoff's rule for quantum wires
- On Vector‐valued Inequalities of the Marcinkiewicz‐Zygmund, Herz and Krivine Type
- Surgery principles for the spectral analysis of quantum graphs
- DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
- Quantum graphs: I. Some basic structures
- RANDOM EVOLUTIONS, MARKOV CHAINS, AND SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS
This page was built for publication: Bi-Laplacians on graphs and networks
