Functionals-preserving cosine families generated by Laplace operators in \(C[0,1]\)

DOI10.3934/dcdsb.2015.20.1877zbMath1338.47051OpenAlexW2550349119MaRDI QIDQ258255

Adam Gregosiewicz, Małgorzata Murat, Adam Bobrowski

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.1877

zbMATH Keywords

method of imagescosine familiesdifferential operators with integral conditionsstrongly-continuous semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (2)

Pairs of complementary transmission conditions for Brownian motion ⋮ Semigroup-theoretic approach to diffusion in thin layers separated by semi-permeable membranes

Cites Work

• Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates
• Generation of cosine families via Lord Kelvin's method of images
• Lord Kelvin's method of images in semigroup theory
• The one-dimensional wave equation with general boundary conditions
• A general theorem on generation of moments-preserving cosine families by Laplace operators in \(C[0,1\)]
• Strongly differentiable solutions of the discrete coagulation-fragmentation equation
• Perturbing the boundary conditions of the generator of a cosine family
• On the convergence and approximation of cosine functions
• Diffusion processes on an interval under linear moment conditions
• Second order differential operators with Feller-Wentzell type boundary conditions
• Well-posedness and spectral properties of heat and wave equations with non-local conditions
• On moments-preserving cosine families and semigroups in \(C[0, 1\)]
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