Semigroups For Initial-Boundary Value Problems

Abstract

We review the theory of one-sided coupled operator matrices with a focus on evolution equations with inhomogeneous boundary conditions. (The original article had no abstract.)

This article was originally published in: M. Iannelli, G. Lumer (eds), Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics. Progress in Nonlinear Differential Equations and Their Applications, vol 55. Birkhäuser, Basel. 2003, 275--292

Cited by in corpus (9)

• Abstract wave equations with acoustic boundary conditions
• Damped wave equations with dynamic boundary conditions
• Asymptotics of semigroups generated by operator matrices
• Operator matrices as generators of cosine operator functions
• Optimal control of stochastic differential equations with dynamical boundary conditions
• A piezoelectric Euler-Bernoulli beam with dynamic boundary control: stability and dissipative FEM
• Well-posedness and spectral properties of heat and wave equations with non-local conditions
• Long-time behavior of stochastically perturbed neuronal networks
• On the relation of powerflow and Telegrapher's equations: continuous and numerical Lyapunov stability