Partial differential equations. A unified Hilbert space approach

DOI10.1515/9783110250275zbMath1275.35002OpenAlexW4249808547MaRDI QIDQ550501

Des McGhee, Rainer Picard

Publication date: 11 July 2011

Published in: De Gruyter Expositions in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110250275

zbMATH Keywords

elastodynamicselectrodynamicsacousticsSobolev chainsSobolev lattices

Mathematics Subject Classification ID

Related Items (40)

A Structural Observation on Port-Hamiltonian Systems ⋮ Stabilization via homogenization ⋮ On the homogenization of partial integro-differential-algebraic equations ⋮ On evolutionary equations with material laws containing fractional integrals ⋮ A note on elliptic type boundary value problems with maximal monotone relations ⋮ Mother operators and their descendants ⋮ Boundary-value problems for the system of operator-differential equations in Banach and Hilbert spaces ⋮ Resolvent estimates and numerical implementation for the homogenisation of one‐dimensional periodic mixed type problems ⋮ Dissipative extensions and port-Hamiltonian operators on networks ⋮ On well-posedness for a piezo-electromagnetic coupling model with boundary dynamics ⋮ On a connection between the Maxwell system, the extended Maxwell system, the Dirac operator and gravito-electromagnetism ⋮ Well-posedness and exponential stability of nonlinear Maxwell equations for dispersive materials with interface ⋮ Tensor-product space-time goal-oriented error control and adaptivity with partition-of-unity dual-weighted residuals for nonstationary flow problems ⋮ Semigroups Associated with Differential-Algebraic Equations ⋮ On abstract grad-div systems ⋮ Mixed-dimensional poromechanical models of fractured porous media ⋮ An alternative approach to well-posedness of a class of differential inclusions in Hilbert spaces ⋮ On non-autonomous evolutionary problems ⋮ Well-posedness of non-autonomous evolutionary inclusions ⋮ A characterization of boundary conditions yielding maximal monotone operators ⋮ On a class of degenerate abstract parabolic problems and applications to some eddy current models ⋮ Fibre homogenisation ⋮ Dynamic first order wave systems with drift term on Riemannian manifolds ⋮ Semigroups and evolutionary equations ⋮ On maximal regularity for a class of evolutionary equations ⋮ A Hilbert space perspective on ordinary differential equations with memory term ⋮ On non‐autonomous integro‐differential‐algebraic evolutionary problems ⋮ A solution theory for a general class of SPDEs ⋮ A note on causality in Banach spaces ⋮ On an elasto-acoustic transmission problem in anisotropic, inhomogeneous media ⋮ Well-posed variational formulations of Friedrichs-type systems ⋮ Maximal regularity for non-autonomous evolutionary equations ⋮ Well-posedness for a general class of differential inclusions ⋮ On well-posedness for some thermo-piezoelectric coupling models ⋮ On a Hilbert space framework for evolutionary systems of classical mathematical physics: a survey ⋮ Homogenisation and the weak operator topology ⋮ Evolutionary Problems Involving Sturm–Liouville Operators ⋮ Exponential stability for second order evolutionary problems ⋮ On the Well-posedness of Evolutionary Equations on Infinite Graphs ⋮ Two-scale homogenization of abstract linear time-dependent PDEs

This page was built for publication: Partial differential equations. A unified Hilbert space approach