A variational approach to strongly damped wave equations

zbMath1171.35439arXiv0903.2599MaRDI QIDQ3601966

Delio Mugnolo

Publication date: 12 February 2009

Full work available at URL: https://arxiv.org/abs/0903.2599

zbMATH Keywords

analytical well-posednessHilbert space methodoptimal analyticity angle

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90)

Related Items (12)

Higher-order operators on networks: hyperbolic and parabolic theory ⋮ Dynamical systems associated with adjacency matrices ⋮ Wellposedness of second order evolution equations ⋮ Gaussian estimates on networks with dynamic stochastic boundary conditions ⋮ Analyticity and Gevrey class regularity for a strongly damped wave equation with hyperbolic dynamic boundary conditions ⋮ Diffusion processes in thin tubes and their limits on graphs ⋮ Convergence of operator semigroups associated with generalised elliptic forms ⋮ Maximal regularity for flexible structural systems in Lebesgue spaces ⋮ Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation ⋮ Second order linear evolution equations with general dissipation ⋮ Parabolic systems with coupled boundary conditions ⋮ Well posedness for a class of flexible structure in Hölder spaces

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